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Finding the Fourth Proportional to 2,725.70, 3,761.97 and 1,782.30

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Solution

The fourth proportional to 2,725.70, 3,761.97 and 1,782.30 is: 2,459.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.70 : 3,761.97 = 1,782.30 : x
  2. Step 2: Convert to fraction form
    2,725.70/3,761.97 = 1,782.30/x
  3. Step 3: Cross multiply
    2,725.70x = 3,761.97 × 1,782.30
  4. Step 4: Simplify right side
    2,725.70x = 6,704,959.13
  5. Step 5: Solve for x
    x = 6,704,959.13/2,725.70
  6. Step 6: Final answer
    x = 2,459.91

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