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Finding the Fourth Proportional to 2,441.34, 3,661.92 and 709.92

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Solution

The fourth proportional to 2,441.34, 3,661.92 and 709.92 is: 1,064.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.34 : 3,661.92 = 709.92 : x
  2. Step 2: Convert to fraction form
    2,441.34/3,661.92 = 709.92/x
  3. Step 3: Cross multiply
    2,441.34x = 3,661.92 × 709.92
  4. Step 4: Simplify right side
    2,441.34x = 2,599,670.25
  5. Step 5: Solve for x
    x = 2,599,670.25/2,441.34
  6. Step 6: Final answer
    x = 1,064.85

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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.