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Finding the Fourth Proportional to 2,243.32, 3,366.20 and 944.76

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Solution

The fourth proportional to 2,243.32, 3,366.20 and 944.76 is: 1,417.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.32 : 3,366.20 = 944.76 : x
  2. Step 2: Convert to fraction form
    2,243.32/3,366.20 = 944.76/x
  3. Step 3: Cross multiply
    2,243.32x = 3,366.20 × 944.76
  4. Step 4: Simplify right side
    2,243.32x = 3,180,251.11
  5. Step 5: Solve for x
    x = 3,180,251.11/2,243.32
  6. Step 6: Final answer
    x = 1,417.65

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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.