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Finding the Fourth Proportional to 2,079.61, 3,119.85 and 763.29

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Solution

The fourth proportional to 2,079.61, 3,119.85 and 763.29 is: 1,145.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.61 : 3,119.85 = 763.29 : x
  2. Step 2: Convert to fraction form
    2,079.61/3,119.85 = 763.29/x
  3. Step 3: Cross multiply
    2,079.61x = 3,119.85 × 763.29
  4. Step 4: Simplify right side
    2,079.61x = 2,381,350.31
  5. Step 5: Solve for x
    x = 2,381,350.31/2,079.61
  6. Step 6: Final answer
    x = 1,145.10

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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.