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Finding the Fourth Proportional to 1,920.71, 2,882.49 and 1,428.24

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Solution

The fourth proportional to 1,920.71, 2,882.49 and 1,428.24 is: 2,143.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.71 : 2,882.49 = 1,428.24 : x
  2. Step 2: Convert to fraction form
    1,920.71/2,882.49 = 1,428.24/x
  3. Step 3: Cross multiply
    1,920.71x = 2,882.49 × 1,428.24
  4. Step 4: Simplify right side
    1,920.71x = 4,116,887.52
  5. Step 5: Solve for x
    x = 4,116,887.52/1,920.71
  6. Step 6: Final answer
    x = 2,143.43

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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.