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Finding the Fourth Proportional to 2,952.75, 4,074.81 and 1,773.84

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Solution

The fourth proportional to 2,952.75, 4,074.81 and 1,773.84 is: 2,447.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.75 : 4,074.81 = 1,773.84 : x
  2. Step 2: Convert to fraction form
    2,952.75/4,074.81 = 1,773.84/x
  3. Step 3: Cross multiply
    2,952.75x = 4,074.81 × 1,773.84
  4. Step 4: Simplify right side
    2,952.75x = 7,228,060.97
  5. Step 5: Solve for x
    x = 7,228,060.97/2,952.75
  6. Step 6: Final answer
    x = 2,447.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.