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Finding the Fourth Proportional to 2,393.82, 3,574.26 and 2,028.78

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Solution

The fourth proportional to 2,393.82, 3,574.26 and 2,028.78 is: 3,029.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.82 : 3,574.26 = 2,028.78 : x
  2. Step 2: Convert to fraction form
    2,393.82/3,574.26 = 2,028.78/x
  3. Step 3: Cross multiply
    2,393.82x = 3,574.26 × 2,028.78
  4. Step 4: Simplify right side
    2,393.82x = 7,251,387.20
  5. Step 5: Solve for x
    x = 7,251,387.20/2,393.82
  6. Step 6: Final answer
    x = 3,029.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.