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Finding the Fourth Proportional to 2,474.64, 3,712.36 and 1,175.40

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Solution

The fourth proportional to 2,474.64, 3,712.36 and 1,175.40 is: 1,763.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.64 : 3,712.36 = 1,175.40 : x
  2. Step 2: Convert to fraction form
    2,474.64/3,712.36 = 1,175.40/x
  3. Step 3: Cross multiply
    2,474.64x = 3,712.36 × 1,175.40
  4. Step 4: Simplify right side
    2,474.64x = 4,363,507.94
  5. Step 5: Solve for x
    x = 4,363,507.94/2,474.64
  6. Step 6: Final answer
    x = 1,763.29

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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.