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Finding the Fourth Proportional to 2,749.29, 4,123.89 and 669.28

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Solution

The fourth proportional to 2,749.29, 4,123.89 and 669.28 is: 1,003.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.29 : 4,123.89 = 669.28 : x
  2. Step 2: Convert to fraction form
    2,749.29/4,123.89 = 669.28/x
  3. Step 3: Cross multiply
    2,749.29x = 4,123.89 × 669.28
  4. Step 4: Simplify right side
    2,749.29x = 2,760,037.10
  5. Step 5: Solve for x
    x = 2,760,037.10/2,749.29
  6. Step 6: Final answer
    x = 1,003.91

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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.