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Finding the Fourth Proportional to 2,398.04, 3,309.12 and 1,350.30

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Solution

The fourth proportional to 2,398.04, 3,309.12 and 1,350.30 is: 1,863.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.04 : 3,309.12 = 1,350.30 : x
  2. Step 2: Convert to fraction form
    2,398.04/3,309.12 = 1,350.30/x
  3. Step 3: Cross multiply
    2,398.04x = 3,309.12 × 1,350.30
  4. Step 4: Simplify right side
    2,398.04x = 4,468,304.74
  5. Step 5: Solve for x
    x = 4,468,304.74/2,398.04
  6. Step 6: Final answer
    x = 1,863.32

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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.