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Finding the Fourth Proportional to 2,722.18, 4,080.03 and 1,565.50

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Solution

The fourth proportional to 2,722.18, 4,080.03 and 1,565.50 is: 2,346.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.18 : 4,080.03 = 1,565.50 : x
  2. Step 2: Convert to fraction form
    2,722.18/4,080.03 = 1,565.50/x
  3. Step 3: Cross multiply
    2,722.18x = 4,080.03 × 1,565.50
  4. Step 4: Simplify right side
    2,722.18x = 6,387,286.97
  5. Step 5: Solve for x
    x = 6,387,286.97/2,722.18
  6. Step 6: Final answer
    x = 2,346.39

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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.