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Finding the Fourth Proportional to 1,641.59, 2,461.09 and 819.44

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Solution

The fourth proportional to 1,641.59, 2,461.09 and 819.44 is: 1,228.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.59 : 2,461.09 = 819.44 : x
  2. Step 2: Convert to fraction form
    1,641.59/2,461.09 = 819.44/x
  3. Step 3: Cross multiply
    1,641.59x = 2,461.09 × 819.44
  4. Step 4: Simplify right side
    1,641.59x = 2,016,715.59
  5. Step 5: Solve for x
    x = 2,016,715.59/1,641.59
  6. Step 6: Final answer
    x = 1,228.51

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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.