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Finding the Fourth Proportional to 2,884.64, 4,327.42 and 2,061.48

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Solution

The fourth proportional to 2,884.64, 4,327.42 and 2,061.48 is: 3,092.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.64 : 4,327.42 = 2,061.48 : x
  2. Step 2: Convert to fraction form
    2,884.64/4,327.42 = 2,061.48/x
  3. Step 3: Cross multiply
    2,884.64x = 4,327.42 × 2,061.48
  4. Step 4: Simplify right side
    2,884.64x = 8,920,889.78
  5. Step 5: Solve for x
    x = 8,920,889.78/2,884.64
  6. Step 6: Final answer
    x = 3,092.55

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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.