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Finding the Fourth Proportional to 1,843.28, 2,764.90 and 456.58

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Solution

The fourth proportional to 1,843.28, 2,764.90 and 456.58 is: 684.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.28 : 2,764.90 = 456.58 : x
  2. Step 2: Convert to fraction form
    1,843.28/2,764.90 = 456.58/x
  3. Step 3: Cross multiply
    1,843.28x = 2,764.90 × 456.58
  4. Step 4: Simplify right side
    1,843.28x = 1,262,398.04
  5. Step 5: Solve for x
    x = 1,262,398.04/1,843.28
  6. Step 6: Final answer
    x = 684.87

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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.