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Finding the Fourth Proportional to 2,749.08, 4,124.34 and 801.30

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Solution

The fourth proportional to 2,749.08, 4,124.34 and 801.30 is: 1,202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.08 : 4,124.34 = 801.30 : x
  2. Step 2: Convert to fraction form
    2,749.08/4,124.34 = 801.30/x
  3. Step 3: Cross multiply
    2,749.08x = 4,124.34 × 801.30
  4. Step 4: Simplify right side
    2,749.08x = 3,304,833.64
  5. Step 5: Solve for x
    x = 3,304,833.64/2,749.08
  6. Step 6: Final answer
    x = 1,202.16

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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.