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Finding the Fourth Proportional to 2,142.39, 3,230.13 and 1,714.71

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Solution

The fourth proportional to 2,142.39, 3,230.13 and 1,714.71 is: 2,585.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.39 : 3,230.13 = 1,714.71 : x
  2. Step 2: Convert to fraction form
    2,142.39/3,230.13 = 1,714.71/x
  3. Step 3: Cross multiply
    2,142.39x = 3,230.13 × 1,714.71
  4. Step 4: Simplify right side
    2,142.39x = 5,538,736.21
  5. Step 5: Solve for x
    x = 5,538,736.21/2,142.39
  6. Step 6: Final answer
    x = 2,585.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.