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Finding the Fourth Proportional to 2,130.03, 3,195.30 and 743.85

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Solution

The fourth proportional to 2,130.03, 3,195.30 and 743.85 is: 1,115.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.03 : 3,195.30 = 743.85 : x
  2. Step 2: Convert to fraction form
    2,130.03/3,195.30 = 743.85/x
  3. Step 3: Cross multiply
    2,130.03x = 3,195.30 × 743.85
  4. Step 4: Simplify right side
    2,130.03x = 2,376,823.91
  5. Step 5: Solve for x
    x = 2,376,823.91/2,130.03
  6. Step 6: Final answer
    x = 1,115.86

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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.