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Finding the Fourth Proportional to 1,642.68, 2,461.05 and 819.72

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Solution

The fourth proportional to 1,642.68, 2,461.05 and 819.72 is: 1,228.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.68 : 2,461.05 = 819.72 : x
  2. Step 2: Convert to fraction form
    1,642.68/2,461.05 = 819.72/x
  3. Step 3: Cross multiply
    1,642.68x = 2,461.05 × 819.72
  4. Step 4: Simplify right side
    1,642.68x = 2,017,371.91
  5. Step 5: Solve for x
    x = 2,017,371.91/1,642.68
  6. Step 6: Final answer
    x = 1,228.10

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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.