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Finding the Fourth Proportional to 2,616.48, 3,924.90 and 884.52

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Solution

The fourth proportional to 2,616.48, 3,924.90 and 884.52 is: 1,326.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.48 : 3,924.90 = 884.52 : x
  2. Step 2: Convert to fraction form
    2,616.48/3,924.90 = 884.52/x
  3. Step 3: Cross multiply
    2,616.48x = 3,924.90 × 884.52
  4. Step 4: Simplify right side
    2,616.48x = 3,471,652.55
  5. Step 5: Solve for x
    x = 3,471,652.55/2,616.48
  6. Step 6: Final answer
    x = 1,326.84

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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.