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Finding the Fourth Proportional to 2,473.94, 3,414.20 and 1,426.07

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Solution

The fourth proportional to 2,473.94, 3,414.20 and 1,426.07 is: 1,968.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.94 : 3,414.20 = 1,426.07 : x
  2. Step 2: Convert to fraction form
    2,473.94/3,414.20 = 1,426.07/x
  3. Step 3: Cross multiply
    2,473.94x = 3,414.20 × 1,426.07
  4. Step 4: Simplify right side
    2,473.94x = 4,868,863.99
  5. Step 5: Solve for x
    x = 4,868,863.99/2,473.94
  6. Step 6: Final answer
    x = 1,968.06

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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.