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Finding the Fourth Proportional to 2,518.06, 3,474.90 and 1,399

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Solution

The fourth proportional to 2,518.06, 3,474.90 and 1,399 is: 1,930.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.06 : 3,474.90 = 1,399 : x
  2. Step 2: Convert to fraction form
    2,518.06/3,474.90 = 1,399/x
  3. Step 3: Cross multiply
    2,518.06x = 3,474.90 × 1,399
  4. Step 4: Simplify right side
    2,518.06x = 4,861,385.10
  5. Step 5: Solve for x
    x = 4,861,385.10/2,518.06
  6. Step 6: Final answer
    x = 1,930.61

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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.