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Finding the Fourth Proportional to 2,275.70, 3,143.49 and 2,189.30

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Solution

The fourth proportional to 2,275.70, 3,143.49 and 2,189.30 is: 3,024.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.70 : 3,143.49 = 2,189.30 : x
  2. Step 2: Convert to fraction form
    2,275.70/3,143.49 = 2,189.30/x
  3. Step 3: Cross multiply
    2,275.70x = 3,143.49 × 2,189.30
  4. Step 4: Simplify right side
    2,275.70x = 6,882,042.66
  5. Step 5: Solve for x
    x = 6,882,042.66/2,275.70
  6. Step 6: Final answer
    x = 3,024.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.