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Finding the Fourth Proportional to 2,884, 4,327.92 and 1,060

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Solution

The fourth proportional to 2,884, 4,327.92 and 1,060 is: 1,590.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884 : 4,327.92 = 1,060 : x
  2. Step 2: Convert to fraction form
    2,884/4,327.92 = 1,060/x
  3. Step 3: Cross multiply
    2,884x = 4,327.92 × 1,060
  4. Step 4: Simplify right side
    2,884x = 4,587,595.20
  5. Step 5: Solve for x
    x = 4,587,595.20/2,884
  6. Step 6: Final answer
    x = 1,590.71

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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.