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Finding the Fourth Proportional to 2,177.81, 3,267.27 and 944.92

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Solution

The fourth proportional to 2,177.81, 3,267.27 and 944.92 is: 1,417.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.81 : 3,267.27 = 944.92 : x
  2. Step 2: Convert to fraction form
    2,177.81/3,267.27 = 944.92/x
  3. Step 3: Cross multiply
    2,177.81x = 3,267.27 × 944.92
  4. Step 4: Simplify right side
    2,177.81x = 3,087,304.04
  5. Step 5: Solve for x
    x = 3,087,304.04/2,177.81
  6. Step 6: Final answer
    x = 1,417.62

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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.