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Finding the Fourth Proportional to 2,398.13, 3,309.62 and 1,350.19

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Solution

The fourth proportional to 2,398.13, 3,309.62 and 1,350.19 is: 1,863.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.13 : 3,309.62 = 1,350.19 : x
  2. Step 2: Convert to fraction form
    2,398.13/3,309.62 = 1,350.19/x
  3. Step 3: Cross multiply
    2,398.13x = 3,309.62 × 1,350.19
  4. Step 4: Simplify right side
    2,398.13x = 4,468,615.83
  5. Step 5: Solve for x
    x = 4,468,615.83/2,398.13
  6. Step 6: Final answer
    x = 1,863.38

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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.