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Finding the Fourth Proportional to 2,474.84, 3,414.12 and 1,426.30

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Solution

The fourth proportional to 2,474.84, 3,414.12 and 1,426.30 is: 1,967.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.84 : 3,414.12 = 1,426.30 : x
  2. Step 2: Convert to fraction form
    2,474.84/3,414.12 = 1,426.30/x
  3. Step 3: Cross multiply
    2,474.84x = 3,414.12 × 1,426.30
  4. Step 4: Simplify right side
    2,474.84x = 4,869,559.36
  5. Step 5: Solve for x
    x = 4,869,559.36/2,474.84
  6. Step 6: Final answer
    x = 1,967.63

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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.