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Finding the Fourth Proportional to 2,665.48, 3,680.17 and 1,723.55

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Solution

The fourth proportional to 2,665.48, 3,680.17 and 1,723.55 is: 2,379.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.48 : 3,680.17 = 1,723.55 : x
  2. Step 2: Convert to fraction form
    2,665.48/3,680.17 = 1,723.55/x
  3. Step 3: Cross multiply
    2,665.48x = 3,680.17 × 1,723.55
  4. Step 4: Simplify right side
    2,665.48x = 6,342,934.29
  5. Step 5: Solve for x
    x = 6,342,934.29/2,665.48
  6. Step 6: Final answer
    x = 2,379.66

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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.