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Finding the Fourth Proportional to 2,884.61, 4,327.17 and 2,114.20

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Solution

The fourth proportional to 2,884.61, 4,327.17 and 2,114.20 is: 3,171.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.61 : 4,327.17 = 2,114.20 : x
  2. Step 2: Convert to fraction form
    2,884.61/4,327.17 = 2,114.20/x
  3. Step 3: Cross multiply
    2,884.61x = 4,327.17 × 2,114.20
  4. Step 4: Simplify right side
    2,884.61x = 9,148,512.19
  5. Step 5: Solve for x
    x = 9,148,512.19/2,884.61
  6. Step 6: Final answer
    x = 3,171.49

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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.