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Finding the Fourth Proportional to 2,374.28, 3,562.02 and 913.04

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Solution

The fourth proportional to 2,374.28, 3,562.02 and 913.04 is: 1,369.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.28 : 3,562.02 = 913.04 : x
  2. Step 2: Convert to fraction form
    2,374.28/3,562.02 = 913.04/x
  3. Step 3: Cross multiply
    2,374.28x = 3,562.02 × 913.04
  4. Step 4: Simplify right side
    2,374.28x = 3,252,248.93
  5. Step 5: Solve for x
    x = 3,252,248.93/2,374.28
  6. Step 6: Final answer
    x = 1,369.79

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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.