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Finding the Fourth Proportional to 2,720.35, 4,080.52 and 871.46

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Solution

The fourth proportional to 2,720.35, 4,080.52 and 871.46 is: 1,307.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.35 : 4,080.52 = 871.46 : x
  2. Step 2: Convert to fraction form
    2,720.35/4,080.52 = 871.46/x
  3. Step 3: Cross multiply
    2,720.35x = 4,080.52 × 871.46
  4. Step 4: Simplify right side
    2,720.35x = 3,555,989.56
  5. Step 5: Solve for x
    x = 3,555,989.56/2,720.35
  6. Step 6: Final answer
    x = 1,307.18

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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.