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Finding the Fourth Proportional to 1,938.10, 2,906.28 and 621.61

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Solution

The fourth proportional to 1,938.10, 2,906.28 and 621.61 is: 932.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.10 : 2,906.28 = 621.61 : x
  2. Step 2: Convert to fraction form
    1,938.10/2,906.28 = 621.61/x
  3. Step 3: Cross multiply
    1,938.10x = 2,906.28 × 621.61
  4. Step 4: Simplify right side
    1,938.10x = 1,806,572.71
  5. Step 5: Solve for x
    x = 1,806,572.71/1,938.10
  6. Step 6: Final answer
    x = 932.14

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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.