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Finding the Fourth Proportional to 2,237.40, 3,355.56 and 938.52

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Solution

The fourth proportional to 2,237.40, 3,355.56 and 938.52 is: 1,407.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.40 : 3,355.56 = 938.52 : x
  2. Step 2: Convert to fraction form
    2,237.40/3,355.56 = 938.52/x
  3. Step 3: Cross multiply
    2,237.40x = 3,355.56 × 938.52
  4. Step 4: Simplify right side
    2,237.40x = 3,149,260.17
  5. Step 5: Solve for x
    x = 3,149,260.17/2,237.40
  6. Step 6: Final answer
    x = 1,407.55

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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.