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Finding the Fourth Proportional to 2,344.95, 3,517.02 and 1,426.41

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Solution

The fourth proportional to 2,344.95, 3,517.02 and 1,426.41 is: 2,139.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.95 : 3,517.02 = 1,426.41 : x
  2. Step 2: Convert to fraction form
    2,344.95/3,517.02 = 1,426.41/x
  3. Step 3: Cross multiply
    2,344.95x = 3,517.02 × 1,426.41
  4. Step 4: Simplify right side
    2,344.95x = 5,016,712.50
  5. Step 5: Solve for x
    x = 5,016,712.50/2,344.95
  6. Step 6: Final answer
    x = 2,139.37

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Why These Related Problems?

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