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Finding the Fourth Proportional to 2,243.84, 3,096.72 and 1,359.92

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Solution

The fourth proportional to 2,243.84, 3,096.72 and 1,359.92 is: 1,876.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.84 : 3,096.72 = 1,359.92 : x
  2. Step 2: Convert to fraction form
    2,243.84/3,096.72 = 1,359.92/x
  3. Step 3: Cross multiply
    2,243.84x = 3,096.72 × 1,359.92
  4. Step 4: Simplify right side
    2,243.84x = 4,211,291.46
  5. Step 5: Solve for x
    x = 4,211,291.46/2,243.84
  6. Step 6: Final answer
    x = 1,876.82

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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.