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Finding the Fourth Proportional to 1,819.92, 2,506.08 and 1,502.82

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Solution

The fourth proportional to 1,819.92, 2,506.08 and 1,502.82 is: 2,069.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.92 : 2,506.08 = 1,502.82 : x
  2. Step 2: Convert to fraction form
    1,819.92/2,506.08 = 1,502.82/x
  3. Step 3: Cross multiply
    1,819.92x = 2,506.08 × 1,502.82
  4. Step 4: Simplify right side
    1,819.92x = 3,766,187.15
  5. Step 5: Solve for x
    x = 3,766,187.15/1,819.92
  6. Step 6: Final answer
    x = 2,069.42

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Why These Related Problems?

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