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Finding the Fourth Proportional to 1,972.54, 2,959.35 and 819.10

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Solution

The fourth proportional to 1,972.54, 2,959.35 and 819.10 is: 1,228.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.54 : 2,959.35 = 819.10 : x
  2. Step 2: Convert to fraction form
    1,972.54/2,959.35 = 819.10/x
  3. Step 3: Cross multiply
    1,972.54x = 2,959.35 × 819.10
  4. Step 4: Simplify right side
    1,972.54x = 2,424,003.59
  5. Step 5: Solve for x
    x = 2,424,003.59/1,972.54
  6. Step 6: Final answer
    x = 1,228.87

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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.