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Finding the Fourth Proportional to 2,193.93, 3,290.94 and 634.10

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Solution

The fourth proportional to 2,193.93, 3,290.94 and 634.10 is: 951.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.93 : 3,290.94 = 634.10 : x
  2. Step 2: Convert to fraction form
    2,193.93/3,290.94 = 634.10/x
  3. Step 3: Cross multiply
    2,193.93x = 3,290.94 × 634.10
  4. Step 4: Simplify right side
    2,193.93x = 2,086,768.60
  5. Step 5: Solve for x
    x = 2,086,768.60/2,193.93
  6. Step 6: Final answer
    x = 951.16

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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.