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Finding the Fourth Proportional to 2,177.68, 3,005.20 and 1,246.18

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Solution

The fourth proportional to 2,177.68, 3,005.20 and 1,246.18 is: 1,719.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.68 : 3,005.20 = 1,246.18 : x
  2. Step 2: Convert to fraction form
    2,177.68/3,005.20 = 1,246.18/x
  3. Step 3: Cross multiply
    2,177.68x = 3,005.20 × 1,246.18
  4. Step 4: Simplify right side
    2,177.68x = 3,745,020.14
  5. Step 5: Solve for x
    x = 3,745,020.14/2,177.68
  6. Step 6: Final answer
    x = 1,719.73

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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.