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Finding the Fourth Proportional to 2,488.50, 3,434.09 and 1,426.28

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Solution

The fourth proportional to 2,488.50, 3,434.09 and 1,426.28 is: 1,968.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.50 : 3,434.09 = 1,426.28 : x
  2. Step 2: Convert to fraction form
    2,488.50/3,434.09 = 1,426.28/x
  3. Step 3: Cross multiply
    2,488.50x = 3,434.09 × 1,426.28
  4. Step 4: Simplify right side
    2,488.50x = 4,897,949.58
  5. Step 5: Solve for x
    x = 4,897,949.58/2,488.50
  6. Step 6: Final answer
    x = 1,968.23

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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.