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Finding the Fourth Proportional to 2,720.82, 4,079.23 and 870.87

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Solution

The fourth proportional to 2,720.82, 4,079.23 and 870.87 is: 1,305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.82 : 4,079.23 = 870.87 : x
  2. Step 2: Convert to fraction form
    2,720.82/4,079.23 = 870.87/x
  3. Step 3: Cross multiply
    2,720.82x = 4,079.23 × 870.87
  4. Step 4: Simplify right side
    2,720.82x = 3,552,469.20
  5. Step 5: Solve for x
    x = 3,552,469.20/2,720.82
  6. Step 6: Final answer
    x = 1,305.66

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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.