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Finding the Fourth Proportional to 2,466.62, 3,700.74 and 1,167.92

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Solution

The fourth proportional to 2,466.62, 3,700.74 and 1,167.92 is: 1,752.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.62 : 3,700.74 = 1,167.92 : x
  2. Step 2: Convert to fraction form
    2,466.62/3,700.74 = 1,167.92/x
  3. Step 3: Cross multiply
    2,466.62x = 3,700.74 × 1,167.92
  4. Step 4: Simplify right side
    2,466.62x = 4,322,168.26
  5. Step 5: Solve for x
    x = 4,322,168.26/2,466.62
  6. Step 6: Final answer
    x = 1,752.26

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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.