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Finding the Fourth Proportional to 1,725.46, 2,349.28 and 1,720

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Solution

The fourth proportional to 1,725.46, 2,349.28 and 1,720 is: 2,341.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.46 : 2,349.28 = 1,720 : x
  2. Step 2: Convert to fraction form
    1,725.46/2,349.28 = 1,720/x
  3. Step 3: Cross multiply
    1,725.46x = 2,349.28 × 1,720
  4. Step 4: Simplify right side
    1,725.46x = 4,040,761.60
  5. Step 5: Solve for x
    x = 4,040,761.60/1,725.46
  6. Step 6: Final answer
    x = 2,341.85

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.