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Finding the Fourth Proportional to 1,729.10, 2,380.32 and 1,562.80

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Solution

The fourth proportional to 1,729.10, 2,380.32 and 1,562.80 is: 2,151.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.10 : 2,380.32 = 1,562.80 : x
  2. Step 2: Convert to fraction form
    1,729.10/2,380.32 = 1,562.80/x
  3. Step 3: Cross multiply
    1,729.10x = 2,380.32 × 1,562.80
  4. Step 4: Simplify right side
    1,729.10x = 3,719,964.10
  5. Step 5: Solve for x
    x = 3,719,964.10/1,729.10
  6. Step 6: Final answer
    x = 2,151.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.