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Finding the Fourth Proportional to 1,882.02, 2,819.82 and 1,331.50

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Solution

The fourth proportional to 1,882.02, 2,819.82 and 1,331.50 is: 1,994.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.02 : 2,819.82 = 1,331.50 : x
  2. Step 2: Convert to fraction form
    1,882.02/2,819.82 = 1,331.50/x
  3. Step 3: Cross multiply
    1,882.02x = 2,819.82 × 1,331.50
  4. Step 4: Simplify right side
    1,882.02x = 3,754,590.33
  5. Step 5: Solve for x
    x = 3,754,590.33/1,882.02
  6. Step 6: Final answer
    x = 1,994.98

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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.