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Finding the Fourth Proportional to 2,193.93, 3,290.54 and 733.08

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Solution

The fourth proportional to 2,193.93, 3,290.54 and 733.08 is: 1,099.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.93 : 3,290.54 = 733.08 : x
  2. Step 2: Convert to fraction form
    2,193.93/3,290.54 = 733.08/x
  3. Step 3: Cross multiply
    2,193.93x = 3,290.54 × 733.08
  4. Step 4: Simplify right side
    2,193.93x = 2,412,228.15
  5. Step 5: Solve for x
    x = 2,412,228.15/2,193.93
  6. Step 6: Final answer
    x = 1,099.50

Related Problems

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Double scale
Find fourth proportional to 2,194.93, 3,292.04 and 734.08
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.