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Finding the Fourth Proportional to 2,749.28, 4,123.00 and 801.02

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Solution

The fourth proportional to 2,749.28, 4,123.00 and 801.02 is: 1,201.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.28 : 4,123.00 = 801.02 : x
  2. Step 2: Convert to fraction form
    2,749.28/4,123.00 = 801.02/x
  3. Step 3: Cross multiply
    2,749.28x = 4,123.00 × 801.02
  4. Step 4: Simplify right side
    2,749.28x = 3,302,616.77
  5. Step 5: Solve for x
    x = 3,302,616.77/2,749.28
  6. Step 6: Final answer
    x = 1,201.27

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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.