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Finding the Fourth Proportional to 2,473.17, 3,709.70 and 1,011.97

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Solution

The fourth proportional to 2,473.17, 3,709.70 and 1,011.97 is: 1,517.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.17 : 3,709.70 = 1,011.97 : x
  2. Step 2: Convert to fraction form
    2,473.17/3,709.70 = 1,011.97/x
  3. Step 3: Cross multiply
    2,473.17x = 3,709.70 × 1,011.97
  4. Step 4: Simplify right side
    2,473.17x = 3,754,105.11
  5. Step 5: Solve for x
    x = 3,754,105.11/2,473.17
  6. Step 6: Final answer
    x = 1,517.93

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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.