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Finding the Fourth Proportional to 3,100.80, 4,648.20 and 1,151.04

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Solution

The fourth proportional to 3,100.80, 4,648.20 and 1,151.04 is: 1,725.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.80 : 4,648.20 = 1,151.04 : x
  2. Step 2: Convert to fraction form
    3,100.80/4,648.20 = 1,151.04/x
  3. Step 3: Cross multiply
    3,100.80x = 4,648.20 × 1,151.04
  4. Step 4: Simplify right side
    3,100.80x = 5,350,264.13
  5. Step 5: Solve for x
    x = 5,350,264.13/3,100.80
  6. Step 6: Final answer
    x = 1,725.45

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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.