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Finding the Fourth Proportional to 2,477.25, 3,715.02 and 721.78

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Solution

The fourth proportional to 2,477.25, 3,715.02 and 721.78 is: 1,082.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.25 : 3,715.02 = 721.78 : x
  2. Step 2: Convert to fraction form
    2,477.25/3,715.02 = 721.78/x
  3. Step 3: Cross multiply
    2,477.25x = 3,715.02 × 721.78
  4. Step 4: Simplify right side
    2,477.25x = 2,681,423.53
  5. Step 5: Solve for x
    x = 2,681,423.53/2,477.25
  6. Step 6: Final answer
    x = 1,082.42

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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.