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Finding the Fourth Proportional to 2,263.40, 3,394.98 and 724.28

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Solution

The fourth proportional to 2,263.40, 3,394.98 and 724.28 is: 1,086.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.40 : 3,394.98 = 724.28 : x
  2. Step 2: Convert to fraction form
    2,263.40/3,394.98 = 724.28/x
  3. Step 3: Cross multiply
    2,263.40x = 3,394.98 × 724.28
  4. Step 4: Simplify right side
    2,263.40x = 2,458,916.11
  5. Step 5: Solve for x
    x = 2,458,916.11/2,263.40
  6. Step 6: Final answer
    x = 1,086.38

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