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Finding the Fourth Proportional to 2,016, 3,023.19 and 975.15

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Solution

The fourth proportional to 2,016, 3,023.19 and 975.15 is: 1,462.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016 : 3,023.19 = 975.15 : x
  2. Step 2: Convert to fraction form
    2,016/3,023.19 = 975.15/x
  3. Step 3: Cross multiply
    2,016x = 3,023.19 × 975.15
  4. Step 4: Simplify right side
    2,016x = 2,948,063.73
  5. Step 5: Solve for x
    x = 2,948,063.73/2,016
  6. Step 6: Final answer
    x = 1,462.33

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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.