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Finding the Fourth Proportional to 2,398.27, 3,309.85 and 1,403.49

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Solution

The fourth proportional to 2,398.27, 3,309.85 and 1,403.49 is: 1,936.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.27 : 3,309.85 = 1,403.49 : x
  2. Step 2: Convert to fraction form
    2,398.27/3,309.85 = 1,403.49/x
  3. Step 3: Cross multiply
    2,398.27x = 3,309.85 × 1,403.49
  4. Step 4: Simplify right side
    2,398.27x = 4,645,343.13
  5. Step 5: Solve for x
    x = 4,645,343.13/2,398.27
  6. Step 6: Final answer
    x = 1,936.95

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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.