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Finding the Fourth Proportional to 1,641.49, 2,460.03 and 819.52

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Solution

The fourth proportional to 1,641.49, 2,460.03 and 819.52 is: 1,228.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.49 : 2,460.03 = 819.52 : x
  2. Step 2: Convert to fraction form
    1,641.49/2,460.03 = 819.52/x
  3. Step 3: Cross multiply
    1,641.49x = 2,460.03 × 819.52
  4. Step 4: Simplify right side
    1,641.49x = 2,016,043.79
  5. Step 5: Solve for x
    x = 2,016,043.79/1,641.49
  6. Step 6: Final answer
    x = 1,228.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.