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Finding the Fourth Proportional to 2,691.87, 4,041.24 and 2,076.00

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Solution

The fourth proportional to 2,691.87, 4,041.24 and 2,076.00 is: 3,116.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.87 : 4,041.24 = 2,076.00 : x
  2. Step 2: Convert to fraction form
    2,691.87/4,041.24 = 2,076.00/x
  3. Step 3: Cross multiply
    2,691.87x = 4,041.24 × 2,076.00
  4. Step 4: Simplify right side
    2,691.87x = 8,389,594.03
  5. Step 5: Solve for x
    x = 8,389,594.03/2,691.87
  6. Step 6: Final answer
    x = 3,116.65

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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.