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Finding the Fourth Proportional to 2,143, 3,215.28 and 2,129.62

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Solution

The fourth proportional to 2,143, 3,215.28 and 2,129.62 is: 3,195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143 : 3,215.28 = 2,129.62 : x
  2. Step 2: Convert to fraction form
    2,143/3,215.28 = 2,129.62/x
  3. Step 3: Cross multiply
    2,143x = 3,215.28 × 2,129.62
  4. Step 4: Simplify right side
    2,143x = 6,847,324.59
  5. Step 5: Solve for x
    x = 6,847,324.59/2,143
  6. Step 6: Final answer
    x = 3,195.21

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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.