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Finding the Fourth Proportional to 2,720.59, 4,079.67 and 772.34

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Solution

The fourth proportional to 2,720.59, 4,079.67 and 772.34 is: 1,158.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.59 : 4,079.67 = 772.34 : x
  2. Step 2: Convert to fraction form
    2,720.59/4,079.67 = 772.34/x
  3. Step 3: Cross multiply
    2,720.59x = 4,079.67 × 772.34
  4. Step 4: Simplify right side
    2,720.59x = 3,150,869.03
  5. Step 5: Solve for x
    x = 3,150,869.03/2,720.59
  6. Step 6: Final answer
    x = 1,158.16

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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.