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Finding the Fourth Proportional to 2,721.62, 3,758.12 and 1,728.66

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Solution

The fourth proportional to 2,721.62, 3,758.12 and 1,728.66 is: 2,387.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.62 : 3,758.12 = 1,728.66 : x
  2. Step 2: Convert to fraction form
    2,721.62/3,758.12 = 1,728.66/x
  3. Step 3: Cross multiply
    2,721.62x = 3,758.12 × 1,728.66
  4. Step 4: Simplify right side
    2,721.62x = 6,496,511.72
  5. Step 5: Solve for x
    x = 6,496,511.72/2,721.62
  6. Step 6: Final answer
    x = 2,387.00

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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.