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Finding the Fourth Proportional to 3,100.80, 4,652.01 and 1,153.02

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Solution

The fourth proportional to 3,100.80, 4,652.01 and 1,153.02 is: 1,729.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.80 : 4,652.01 = 1,153.02 : x
  2. Step 2: Convert to fraction form
    3,100.80/4,652.01 = 1,153.02/x
  3. Step 3: Cross multiply
    3,100.80x = 4,652.01 × 1,153.02
  4. Step 4: Simplify right side
    3,100.80x = 5,363,860.57
  5. Step 5: Solve for x
    x = 5,363,860.57/3,100.80
  6. Step 6: Final answer
    x = 1,729.83

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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.