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Finding the Fourth Proportional to 1,641.34, 2,460.71 and 819.19

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Solution

The fourth proportional to 1,641.34, 2,460.71 and 819.19 is: 1,228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.34 : 2,460.71 = 819.19 : x
  2. Step 2: Convert to fraction form
    1,641.34/2,460.71 = 819.19/x
  3. Step 3: Cross multiply
    1,641.34x = 2,460.71 × 819.19
  4. Step 4: Simplify right side
    1,641.34x = 2,015,794.15
  5. Step 5: Solve for x
    x = 2,015,794.15/1,641.34
  6. Step 6: Final answer
    x = 1,228.14

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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.