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Finding the Fourth Proportional to 2,130.96, 3,195.67 and 743.91

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Solution

The fourth proportional to 2,130.96, 3,195.67 and 743.91 is: 1,115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.96 : 3,195.67 = 743.91 : x
  2. Step 2: Convert to fraction form
    2,130.96/3,195.67 = 743.91/x
  3. Step 3: Cross multiply
    2,130.96x = 3,195.67 × 743.91
  4. Step 4: Simplify right side
    2,130.96x = 2,377,290.87
  5. Step 5: Solve for x
    x = 2,377,290.87/2,130.96
  6. Step 6: Final answer
    x = 1,115.60

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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.