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Finding the Fourth Proportional to 2,610.12, 3,914.73 and 966.53

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Solution

The fourth proportional to 2,610.12, 3,914.73 and 966.53 is: 1,449.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.12 : 3,914.73 = 966.53 : x
  2. Step 2: Convert to fraction form
    2,610.12/3,914.73 = 966.53/x
  3. Step 3: Cross multiply
    2,610.12x = 3,914.73 × 966.53
  4. Step 4: Simplify right side
    2,610.12x = 3,783,713.77
  5. Step 5: Solve for x
    x = 3,783,713.77/2,610.12
  6. Step 6: Final answer
    x = 1,449.63

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1.5x scale

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.