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Finding the Fourth Proportional to 2,694.32, 3,714.24 and 2,319.68

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Solution

The fourth proportional to 2,694.32, 3,714.24 and 2,319.68 is: 3,197.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.32 : 3,714.24 = 2,319.68 : x
  2. Step 2: Convert to fraction form
    2,694.32/3,714.24 = 2,319.68/x
  3. Step 3: Cross multiply
    2,694.32x = 3,714.24 × 2,319.68
  4. Step 4: Simplify right side
    2,694.32x = 8,615,848.24
  5. Step 5: Solve for x
    x = 8,615,848.24/2,694.32
  6. Step 6: Final answer
    x = 3,197.78

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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.