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Finding the Fourth Proportional to 2,472.86, 3,708.41 and 912.53

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Solution

The fourth proportional to 2,472.86, 3,708.41 and 912.53 is: 1,368.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.86 : 3,708.41 = 912.53 : x
  2. Step 2: Convert to fraction form
    2,472.86/3,708.41 = 912.53/x
  3. Step 3: Cross multiply
    2,472.86x = 3,708.41 × 912.53
  4. Step 4: Simplify right side
    2,472.86x = 3,384,012.27
  5. Step 5: Solve for x
    x = 3,384,012.27/2,472.86
  6. Step 6: Final answer
    x = 1,368.46

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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.