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Finding the Fourth Proportional to 2,474.34, 3,414.22 and 1,411.94

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Solution

The fourth proportional to 2,474.34, 3,414.22 and 1,411.94 is: 1,948.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.34 : 3,414.22 = 1,411.94 : x
  2. Step 2: Convert to fraction form
    2,474.34/3,414.22 = 1,411.94/x
  3. Step 3: Cross multiply
    2,474.34x = 3,414.22 × 1,411.94
  4. Step 4: Simplify right side
    2,474.34x = 4,820,673.79
  5. Step 5: Solve for x
    x = 4,820,673.79/2,474.34
  6. Step 6: Final answer
    x = 1,948.27

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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.