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Finding the Fourth Proportional to 2,474.64, 3,713.04 and 2,470.32

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Solution

The fourth proportional to 2,474.64, 3,713.04 and 2,470.32 is: 3,706.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.64 : 3,713.04 = 2,470.32 : x
  2. Step 2: Convert to fraction form
    2,474.64/3,713.04 = 2,470.32/x
  3. Step 3: Cross multiply
    2,474.64x = 3,713.04 × 2,470.32
  4. Step 4: Simplify right side
    2,474.64x = 9,172,396.97
  5. Step 5: Solve for x
    x = 9,172,396.97/2,474.64
  6. Step 6: Final answer
    x = 3,706.56

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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.