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Finding the Fourth Proportional to 2,697.56, 4,046.70 and 965.78

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Solution

The fourth proportional to 2,697.56, 4,046.70 and 965.78 is: 1,448.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.56 : 4,046.70 = 965.78 : x
  2. Step 2: Convert to fraction form
    2,697.56/4,046.70 = 965.78/x
  3. Step 3: Cross multiply
    2,697.56x = 4,046.70 × 965.78
  4. Step 4: Simplify right side
    2,697.56x = 3,908,221.93
  5. Step 5: Solve for x
    x = 3,908,221.93/2,697.56
  6. Step 6: Final answer
    x = 1,448.80

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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.