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Finding the Fourth Proportional to 2,679.48, 3,697.67 and 1,500.57

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Solution

The fourth proportional to 2,679.48, 3,697.67 and 1,500.57 is: 2,070.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.48 : 3,697.67 = 1,500.57 : x
  2. Step 2: Convert to fraction form
    2,679.48/3,697.67 = 1,500.57/x
  3. Step 3: Cross multiply
    2,679.48x = 3,697.67 × 1,500.57
  4. Step 4: Simplify right side
    2,679.48x = 5,548,605.17
  5. Step 5: Solve for x
    x = 5,548,605.17/2,679.48
  6. Step 6: Final answer
    x = 2,070.78

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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.