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Finding the Fourth Proportional to 2,474.97, 3,711.87 and 1,159.63

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Solution

The fourth proportional to 2,474.97, 3,711.87 and 1,159.63 is: 1,739.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.97 : 3,711.87 = 1,159.63 : x
  2. Step 2: Convert to fraction form
    2,474.97/3,711.87 = 1,159.63/x
  3. Step 3: Cross multiply
    2,474.97x = 3,711.87 × 1,159.63
  4. Step 4: Simplify right side
    2,474.97x = 4,304,395.81
  5. Step 5: Solve for x
    x = 4,304,395.81/2,474.97
  6. Step 6: Final answer
    x = 1,739.17

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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.