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Finding the Fourth Proportional to 2,992.48, 4,123.80 and 2,247.28

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Solution

The fourth proportional to 2,992.48, 4,123.80 and 2,247.28 is: 3,096.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.48 : 4,123.80 = 2,247.28 : x
  2. Step 2: Convert to fraction form
    2,992.48/4,123.80 = 2,247.28/x
  3. Step 3: Cross multiply
    2,992.48x = 4,123.80 × 2,247.28
  4. Step 4: Simplify right side
    2,992.48x = 9,267,333.26
  5. Step 5: Solve for x
    x = 9,267,333.26/2,992.48
  6. Step 6: Final answer
    x = 3,096.87

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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.