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Finding the Fourth Proportional to 2,714.60, 4,067.26 and 1,823.47

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Solution

The fourth proportional to 2,714.60, 4,067.26 and 1,823.47 is: 2,732.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.60 : 4,067.26 = 1,823.47 : x
  2. Step 2: Convert to fraction form
    2,714.60/4,067.26 = 1,823.47/x
  3. Step 3: Cross multiply
    2,714.60x = 4,067.26 × 1,823.47
  4. Step 4: Simplify right side
    2,714.60x = 7,416,511.87
  5. Step 5: Solve for x
    x = 7,416,511.87/2,714.60
  6. Step 6: Final answer
    x = 2,732.08

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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.