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Finding the Fourth Proportional to 3,170.58, 4,756.77 and 979.63

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Solution

The fourth proportional to 3,170.58, 4,756.77 and 979.63 is: 1,469.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.58 : 4,756.77 = 979.63 : x
  2. Step 2: Convert to fraction form
    3,170.58/4,756.77 = 979.63/x
  3. Step 3: Cross multiply
    3,170.58x = 4,756.77 × 979.63
  4. Step 4: Simplify right side
    3,170.58x = 4,659,874.60
  5. Step 5: Solve for x
    x = 4,659,874.60/3,170.58
  6. Step 6: Final answer
    x = 1,469.72

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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.