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Finding the Fourth Proportional to 2,869.08, 3,959.16 and 1,609.86

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Solution

The fourth proportional to 2,869.08, 3,959.16 and 1,609.86 is: 2,221.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.08 : 3,959.16 = 1,609.86 : x
  2. Step 2: Convert to fraction form
    2,869.08/3,959.16 = 1,609.86/x
  3. Step 3: Cross multiply
    2,869.08x = 3,959.16 × 1,609.86
  4. Step 4: Simplify right side
    2,869.08x = 6,373,693.32
  5. Step 5: Solve for x
    x = 6,373,693.32/2,869.08
  6. Step 6: Final answer
    x = 2,221.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.