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Finding the Fourth Proportional to 2,167.89, 3,252.92 and 781.55

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Solution

The fourth proportional to 2,167.89, 3,252.92 and 781.55 is: 1,172.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.89 : 3,252.92 = 781.55 : x
  2. Step 2: Convert to fraction form
    2,167.89/3,252.92 = 781.55/x
  3. Step 3: Cross multiply
    2,167.89x = 3,252.92 × 781.55
  4. Step 4: Simplify right side
    2,167.89x = 2,542,319.63
  5. Step 5: Solve for x
    x = 2,542,319.63/2,167.89
  6. Step 6: Final answer
    x = 1,172.72

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1.5x scale

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.