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Finding the Fourth Proportional to 2,243.58, 3,096.10 and 1,248.82

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Solution

The fourth proportional to 2,243.58, 3,096.10 and 1,248.82 is: 1,723.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.58 : 3,096.10 = 1,248.82 : x
  2. Step 2: Convert to fraction form
    2,243.58/3,096.10 = 1,248.82/x
  3. Step 3: Cross multiply
    2,243.58x = 3,096.10 × 1,248.82
  4. Step 4: Simplify right side
    2,243.58x = 3,866,471.60
  5. Step 5: Solve for x
    x = 3,866,471.60/2,243.58
  6. Step 6: Final answer
    x = 1,723.35

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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.