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Finding the Fourth Proportional to 1,920.78, 2,882.25 and 947.70

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Solution

The fourth proportional to 1,920.78, 2,882.25 and 947.70 is: 1,422.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.78 : 2,882.25 = 947.70 : x
  2. Step 2: Convert to fraction form
    1,920.78/2,882.25 = 947.70/x
  3. Step 3: Cross multiply
    1,920.78x = 2,882.25 × 947.70
  4. Step 4: Simplify right side
    1,920.78x = 2,731,508.33
  5. Step 5: Solve for x
    x = 2,731,508.33/1,920.78
  6. Step 6: Final answer
    x = 1,422.08

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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.