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Finding the Fourth Proportional to 2,398.41, 3,309.89 and 1,403.78

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Solution

The fourth proportional to 2,398.41, 3,309.89 and 1,403.78 is: 1,937.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.41 : 3,309.89 = 1,403.78 : x
  2. Step 2: Convert to fraction form
    2,398.41/3,309.89 = 1,403.78/x
  3. Step 3: Cross multiply
    2,398.41x = 3,309.89 × 1,403.78
  4. Step 4: Simplify right side
    2,398.41x = 4,646,356.38
  5. Step 5: Solve for x
    x = 4,646,356.38/2,398.41
  6. Step 6: Final answer
    x = 1,937.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.