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Finding the Fourth Proportional to 2,574.33, 3,859.34 and 1,036.41

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Solution

The fourth proportional to 2,574.33, 3,859.34 and 1,036.41 is: 1,553.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.33 : 3,859.34 = 1,036.41 : x
  2. Step 2: Convert to fraction form
    2,574.33/3,859.34 = 1,036.41/x
  3. Step 3: Cross multiply
    2,574.33x = 3,859.34 × 1,036.41
  4. Step 4: Simplify right side
    2,574.33x = 3,999,853.39
  5. Step 5: Solve for x
    x = 3,999,853.39/2,574.33
  6. Step 6: Final answer
    x = 1,553.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.