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Finding the Fourth Proportional to 2,471.17, 3,706.73 and 1,009.30

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Solution

The fourth proportional to 2,471.17, 3,706.73 and 1,009.30 is: 1,513.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.17 : 3,706.73 = 1,009.30 : x
  2. Step 2: Convert to fraction form
    2,471.17/3,706.73 = 1,009.30/x
  3. Step 3: Cross multiply
    2,471.17x = 3,706.73 × 1,009.30
  4. Step 4: Simplify right side
    2,471.17x = 3,741,195.85
  5. Step 5: Solve for x
    x = 3,741,195.85/2,471.17
  6. Step 6: Final answer
    x = 1,513.94

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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.