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Finding the Fourth Proportional to 2,463.55, 3,694.76 and 708.55

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Solution

The fourth proportional to 2,463.55, 3,694.76 and 708.55 is: 1,062.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.55 : 3,694.76 = 708.55 : x
  2. Step 2: Convert to fraction form
    2,463.55/3,694.76 = 708.55/x
  3. Step 3: Cross multiply
    2,463.55x = 3,694.76 × 708.55
  4. Step 4: Simplify right side
    2,463.55x = 2,617,916.06
  5. Step 5: Solve for x
    x = 2,617,916.06/2,463.55
  6. Step 6: Final answer
    x = 1,062.66

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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.