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Finding the Fourth Proportional to 2,690.60, 3,714.24 and 2,027.68

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Solution

The fourth proportional to 2,690.60, 3,714.24 and 2,027.68 is: 2,799.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.60 : 3,714.24 = 2,027.68 : x
  2. Step 2: Convert to fraction form
    2,690.60/3,714.24 = 2,027.68/x
  3. Step 3: Cross multiply
    2,690.60x = 3,714.24 × 2,027.68
  4. Step 4: Simplify right side
    2,690.60x = 7,531,290.16
  5. Step 5: Solve for x
    x = 7,531,290.16/2,690.60
  6. Step 6: Final answer
    x = 2,799.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.