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Finding the Fourth Proportional to 2,188.95, 3,020.64 and 1,194.22

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Solution

The fourth proportional to 2,188.95, 3,020.64 and 1,194.22 is: 1,647.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.95 : 3,020.64 = 1,194.22 : x
  2. Step 2: Convert to fraction form
    2,188.95/3,020.64 = 1,194.22/x
  3. Step 3: Cross multiply
    2,188.95x = 3,020.64 × 1,194.22
  4. Step 4: Simplify right side
    2,188.95x = 3,607,308.70
  5. Step 5: Solve for x
    x = 3,607,308.70/2,188.95
  6. Step 6: Final answer
    x = 1,647.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.