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Finding the Fourth Proportional to 2,398.29, 3,310.52 and 1,810.23

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Solution

The fourth proportional to 2,398.29, 3,310.52 and 1,810.23 is: 2,498.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.29 : 3,310.52 = 1,810.23 : x
  2. Step 2: Convert to fraction form
    2,398.29/3,310.52 = 1,810.23/x
  3. Step 3: Cross multiply
    2,398.29x = 3,310.52 × 1,810.23
  4. Step 4: Simplify right side
    2,398.29x = 5,992,793.57
  5. Step 5: Solve for x
    x = 5,992,793.57/2,398.29
  6. Step 6: Final answer
    x = 2,498.78

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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.