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Finding the Fourth Proportional to 2,170.77, 3,255.84 and 709.93

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Solution

The fourth proportional to 2,170.77, 3,255.84 and 709.93 is: 1,064.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.77 : 3,255.84 = 709.93 : x
  2. Step 2: Convert to fraction form
    2,170.77/3,255.84 = 709.93/x
  3. Step 3: Cross multiply
    2,170.77x = 3,255.84 × 709.93
  4. Step 4: Simplify right side
    2,170.77x = 2,311,418.49
  5. Step 5: Solve for x
    x = 2,311,418.49/2,170.77
  6. Step 6: Final answer
    x = 1,064.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.