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Finding the Fourth Proportional to 2,169.86, 3,254.10 and 1,388.76

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Solution

The fourth proportional to 2,169.86, 3,254.10 and 1,388.76 is: 2,082.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.86 : 3,254.10 = 1,388.76 : x
  2. Step 2: Convert to fraction form
    2,169.86/3,254.10 = 1,388.76/x
  3. Step 3: Cross multiply
    2,169.86x = 3,254.10 × 1,388.76
  4. Step 4: Simplify right side
    2,169.86x = 4,519,163.92
  5. Step 5: Solve for x
    x = 4,519,163.92/2,169.86
  6. Step 6: Final answer
    x = 2,082.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.