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Finding the Fourth Proportional to 3,142.32, 4,333.97 and 2,302.71

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Solution

The fourth proportional to 3,142.32, 4,333.97 and 2,302.71 is: 3,175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.32 : 4,333.97 = 2,302.71 : x
  2. Step 2: Convert to fraction form
    3,142.32/4,333.97 = 2,302.71/x
  3. Step 3: Cross multiply
    3,142.32x = 4,333.97 × 2,302.71
  4. Step 4: Simplify right side
    3,142.32x = 9,979,881.82
  5. Step 5: Solve for x
    x = 9,979,881.82/3,142.32
  6. Step 6: Final answer
    x = 3,175.96

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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.