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Finding the Fourth Proportional to 2,441.25, 3,661.88 and 709.88

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Solution

The fourth proportional to 2,441.25, 3,661.88 and 709.88 is: 1,064.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.25 : 3,661.88 = 709.88 : x
  2. Step 2: Convert to fraction form
    2,441.25/3,661.88 = 709.88/x
  3. Step 3: Cross multiply
    2,441.25x = 3,661.88 × 709.88
  4. Step 4: Simplify right side
    2,441.25x = 2,599,473.52
  5. Step 5: Solve for x
    x = 2,599,473.52/2,441.25
  6. Step 6: Final answer
    x = 1,064.81

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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.