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Finding the Fourth Proportional to 2,616.68, 3,925.06 and 862.93

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Solution

The fourth proportional to 2,616.68, 3,925.06 and 862.93 is: 1,294.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.68 : 3,925.06 = 862.93 : x
  2. Step 2: Convert to fraction form
    2,616.68/3,925.06 = 862.93/x
  3. Step 3: Cross multiply
    2,616.68x = 3,925.06 × 862.93
  4. Step 4: Simplify right side
    2,616.68x = 3,387,052.03
  5. Step 5: Solve for x
    x = 3,387,052.03/2,616.68
  6. Step 6: Final answer
    x = 1,294.41

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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.