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Finding the Fourth Proportional to 2,472.77, 3,709.16 and 1,011.66

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Solution

The fourth proportional to 2,472.77, 3,709.16 and 1,011.66 is: 1,517.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.77 : 3,709.16 = 1,011.66 : x
  2. Step 2: Convert to fraction form
    2,472.77/3,709.16 = 1,011.66/x
  3. Step 3: Cross multiply
    2,472.77x = 3,709.16 × 1,011.66
  4. Step 4: Simplify right side
    2,472.77x = 3,752,403.75
  5. Step 5: Solve for x
    x = 3,752,403.75/2,472.77
  6. Step 6: Final answer
    x = 1,517.49

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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.