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Finding the Fourth Proportional to 2,384, 3,577.44 and 1,016

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Solution

The fourth proportional to 2,384, 3,577.44 and 1,016 is: 1,524.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384 : 3,577.44 = 1,016 : x
  2. Step 2: Convert to fraction form
    2,384/3,577.44 = 1,016/x
  3. Step 3: Cross multiply
    2,384x = 3,577.44 × 1,016
  4. Step 4: Simplify right side
    2,384x = 3,634,679.04
  5. Step 5: Solve for x
    x = 3,634,679.04/2,384
  6. Step 6: Final answer
    x = 1,524.61

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Why These Related Problems?

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