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Finding the Fourth Proportional to 2,398.64, 3,310.23 and 1,350.77

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Solution

The fourth proportional to 2,398.64, 3,310.23 and 1,350.77 is: 1,864.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.64 : 3,310.23 = 1,350.77 : x
  2. Step 2: Convert to fraction form
    2,398.64/3,310.23 = 1,350.77/x
  3. Step 3: Cross multiply
    2,398.64x = 3,310.23 × 1,350.77
  4. Step 4: Simplify right side
    2,398.64x = 4,471,359.38
  5. Step 5: Solve for x
    x = 4,471,359.38/2,398.64
  6. Step 6: Final answer
    x = 1,864.12

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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.