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Finding the Fourth Proportional to 2,697.59, 3,723.17 and 1,578.46

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Solution

The fourth proportional to 2,697.59, 3,723.17 and 1,578.46 is: 2,178.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.59 : 3,723.17 = 1,578.46 : x
  2. Step 2: Convert to fraction form
    2,697.59/3,723.17 = 1,578.46/x
  3. Step 3: Cross multiply
    2,697.59x = 3,723.17 × 1,578.46
  4. Step 4: Simplify right side
    2,697.59x = 5,876,874.92
  5. Step 5: Solve for x
    x = 5,876,874.92/2,697.59
  6. Step 6: Final answer
    x = 2,178.56

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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.