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Finding the Fourth Proportional to 2,237.60, 3,356.40 and 938.78

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Solution

The fourth proportional to 2,237.60, 3,356.40 and 938.78 is: 1,408.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.60 : 3,356.40 = 938.78 : x
  2. Step 2: Convert to fraction form
    2,237.60/3,356.40 = 938.78/x
  3. Step 3: Cross multiply
    2,237.60x = 3,356.40 × 938.78
  4. Step 4: Simplify right side
    2,237.60x = 3,150,921.19
  5. Step 5: Solve for x
    x = 3,150,921.19/2,237.60
  6. Step 6: Final answer
    x = 1,408.17

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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.