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Finding the Fourth Proportional to 2,095.07, 3,142.82 and 614.33

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Solution

The fourth proportional to 2,095.07, 3,142.82 and 614.33 is: 921.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.07 : 3,142.82 = 614.33 : x
  2. Step 2: Convert to fraction form
    2,095.07/3,142.82 = 614.33/x
  3. Step 3: Cross multiply
    2,095.07x = 3,142.82 × 614.33
  4. Step 4: Simplify right side
    2,095.07x = 1,930,709.82
  5. Step 5: Solve for x
    x = 1,930,709.82/2,095.07
  6. Step 6: Final answer
    x = 921.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.