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Finding the Fourth Proportional to 2,398.08, 3,309.48 and 1,350.24

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Solution

The fourth proportional to 2,398.08, 3,309.48 and 1,350.24 is: 1,863.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.08 : 3,309.48 = 1,350.24 : x
  2. Step 2: Convert to fraction form
    2,398.08/3,309.48 = 1,350.24/x
  3. Step 3: Cross multiply
    2,398.08x = 3,309.48 × 1,350.24
  4. Step 4: Simplify right side
    2,398.08x = 4,468,592.28
  5. Step 5: Solve for x
    x = 4,468,592.28/2,398.08
  6. Step 6: Final answer
    x = 1,863.40

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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.