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Finding the Fourth Proportional to 2,616.23, 3,924.32 and 862.04

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Solution

The fourth proportional to 2,616.23, 3,924.32 and 862.04 is: 1,293.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.23 : 3,924.32 = 862.04 : x
  2. Step 2: Convert to fraction form
    2,616.23/3,924.32 = 862.04/x
  3. Step 3: Cross multiply
    2,616.23x = 3,924.32 × 862.04
  4. Step 4: Simplify right side
    2,616.23x = 3,382,926.31
  5. Step 5: Solve for x
    x = 3,382,926.31/2,616.23
  6. Step 6: Final answer
    x = 1,293.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.