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Finding the Fourth Proportional to 2,656.26, 3,984.42 and 924.78

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Solution

The fourth proportional to 2,656.26, 3,984.42 and 924.78 is: 1,387.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.26 : 3,984.42 = 924.78 : x
  2. Step 2: Convert to fraction form
    2,656.26/3,984.42 = 924.78/x
  3. Step 3: Cross multiply
    2,656.26x = 3,984.42 × 924.78
  4. Step 4: Simplify right side
    2,656.26x = 3,684,711.93
  5. Step 5: Solve for x
    x = 3,684,711.93/2,656.26
  6. Step 6: Final answer
    x = 1,387.18

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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.