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Finding the Fourth Proportional to 2,617.52, 3,926.76 and 862.63

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Solution

The fourth proportional to 2,617.52, 3,926.76 and 862.63 is: 1,294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.52 : 3,926.76 = 862.63 : x
  2. Step 2: Convert to fraction form
    2,617.52/3,926.76 = 862.63/x
  3. Step 3: Cross multiply
    2,617.52x = 3,926.76 × 862.63
  4. Step 4: Simplify right side
    2,617.52x = 3,387,331.16
  5. Step 5: Solve for x
    x = 3,387,331.16/2,617.52
  6. Step 6: Final answer
    x = 1,294.10

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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.