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Finding the Fourth Proportional to 2,720.78, 4,079.17 and 870.83

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Solution

The fourth proportional to 2,720.78, 4,079.17 and 870.83 is: 1,305.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.78 : 4,079.17 = 870.83 : x
  2. Step 2: Convert to fraction form
    2,720.78/4,079.17 = 870.83/x
  3. Step 3: Cross multiply
    2,720.78x = 4,079.17 × 870.83
  4. Step 4: Simplify right side
    2,720.78x = 3,552,263.61
  5. Step 5: Solve for x
    x = 3,552,263.61/2,720.78
  6. Step 6: Final answer
    x = 1,305.60

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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.