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Finding the Fourth Proportional to 3,117.66, 4,676.67 and 1,169.88

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Solution

The fourth proportional to 3,117.66, 4,676.67 and 1,169.88 is: 1,754.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.66 : 4,676.67 = 1,169.88 : x
  2. Step 2: Convert to fraction form
    3,117.66/4,676.67 = 1,169.88/x
  3. Step 3: Cross multiply
    3,117.66x = 4,676.67 × 1,169.88
  4. Step 4: Simplify right side
    3,117.66x = 5,471,142.70
  5. Step 5: Solve for x
    x = 5,471,142.70/3,117.66
  6. Step 6: Final answer
    x = 1,754.89

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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.