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Finding the Fourth Proportional to 2,195.78, 3,032.19 and 1,411.17

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Solution

The fourth proportional to 2,195.78, 3,032.19 and 1,411.17 is: 1,948.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.78 : 3,032.19 = 1,411.17 : x
  2. Step 2: Convert to fraction form
    2,195.78/3,032.19 = 1,411.17/x
  3. Step 3: Cross multiply
    2,195.78x = 3,032.19 × 1,411.17
  4. Step 4: Simplify right side
    2,195.78x = 4,278,935.56
  5. Step 5: Solve for x
    x = 4,278,935.56/2,195.78
  6. Step 6: Final answer
    x = 1,948.71

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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.