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Finding the Fourth Proportional to 2,660.78, 3,992.70 and 1,016.90

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Solution

The fourth proportional to 2,660.78, 3,992.70 and 1,016.90 is: 1,525.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.78 : 3,992.70 = 1,016.90 : x
  2. Step 2: Convert to fraction form
    2,660.78/3,992.70 = 1,016.90/x
  3. Step 3: Cross multiply
    2,660.78x = 3,992.70 × 1,016.90
  4. Step 4: Simplify right side
    2,660.78x = 4,060,176.63
  5. Step 5: Solve for x
    x = 4,060,176.63/2,660.78
  6. Step 6: Final answer
    x = 1,525.93

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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.