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Finding the Fourth Proportional to 2,472.73, 3,710.46 and 1,012.90

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Solution

The fourth proportional to 2,472.73, 3,710.46 and 1,012.90 is: 1,519.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.73 : 3,710.46 = 1,012.90 : x
  2. Step 2: Convert to fraction form
    2,472.73/3,710.46 = 1,012.90/x
  3. Step 3: Cross multiply
    2,472.73x = 3,710.46 × 1,012.90
  4. Step 4: Simplify right side
    2,472.73x = 3,758,324.93
  5. Step 5: Solve for x
    x = 3,758,324.93/2,472.73
  6. Step 6: Final answer
    x = 1,519.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.