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Finding the Fourth Proportional to 1,602.38, 2,402.15 and 627.80

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Solution

The fourth proportional to 1,602.38, 2,402.15 and 627.80 is: 941.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.38 : 2,402.15 = 627.80 : x
  2. Step 2: Convert to fraction form
    1,602.38/2,402.15 = 627.80/x
  3. Step 3: Cross multiply
    1,602.38x = 2,402.15 × 627.80
  4. Step 4: Simplify right side
    1,602.38x = 1,508,069.77
  5. Step 5: Solve for x
    x = 1,508,069.77/1,602.38
  6. Step 6: Final answer
    x = 941.14

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