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Finding the Fourth Proportional to 3,101.67, 4,652.55 and 793.17

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Solution

The fourth proportional to 3,101.67, 4,652.55 and 793.17 is: 1,189.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.67 : 4,652.55 = 793.17 : x
  2. Step 2: Convert to fraction form
    3,101.67/4,652.55 = 793.17/x
  3. Step 3: Cross multiply
    3,101.67x = 4,652.55 × 793.17
  4. Step 4: Simplify right side
    3,101.67x = 3,690,263.08
  5. Step 5: Solve for x
    x = 3,690,263.08/3,101.67
  6. Step 6: Final answer
    x = 1,189.77

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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.