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Finding the Fourth Proportional to 2,472.05, 3,709.45 and 1,011.10

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Solution

The fourth proportional to 2,472.05, 3,709.45 and 1,011.10 is: 1,517.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.05 : 3,709.45 = 1,011.10 : x
  2. Step 2: Convert to fraction form
    2,472.05/3,709.45 = 1,011.10/x
  3. Step 3: Cross multiply
    2,472.05x = 3,709.45 × 1,011.10
  4. Step 4: Simplify right side
    2,472.05x = 3,750,624.90
  5. Step 5: Solve for x
    x = 3,750,624.90/2,472.05
  6. Step 6: Final answer
    x = 1,517.21

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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.