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Finding the Fourth Proportional to 3,101.90, 4,652.87 and 793.40

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Solution

The fourth proportional to 3,101.90, 4,652.87 and 793.40 is: 1,190.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.90 : 4,652.87 = 793.40 : x
  2. Step 2: Convert to fraction form
    3,101.90/4,652.87 = 793.40/x
  3. Step 3: Cross multiply
    3,101.90x = 4,652.87 × 793.40
  4. Step 4: Simplify right side
    3,101.90x = 3,691,559.83
  5. Step 5: Solve for x
    x = 3,691,559.83/3,101.90
  6. Step 6: Final answer
    x = 1,190.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.