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Finding the Fourth Proportional to 3,142.68, 4,333.32 and 2,006.82

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Solution

The fourth proportional to 3,142.68, 4,333.32 and 2,006.82 is: 2,767.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.68 : 4,333.32 = 2,006.82 : x
  2. Step 2: Convert to fraction form
    3,142.68/4,333.32 = 2,006.82/x
  3. Step 3: Cross multiply
    3,142.68x = 4,333.32 × 2,006.82
  4. Step 4: Simplify right side
    3,142.68x = 8,696,193.24
  5. Step 5: Solve for x
    x = 8,696,193.24/3,142.68
  6. Step 6: Final answer
    x = 2,767.13

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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.