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Finding the Fourth Proportional to 3,117.43, 4,676.64 and 1,169.78

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Solution

The fourth proportional to 3,117.43, 4,676.64 and 1,169.78 is: 1,754.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.43 : 4,676.64 = 1,169.78 : x
  2. Step 2: Convert to fraction form
    3,117.43/4,676.64 = 1,169.78/x
  3. Step 3: Cross multiply
    3,117.43x = 4,676.64 × 1,169.78
  4. Step 4: Simplify right side
    3,117.43x = 5,470,639.94
  5. Step 5: Solve for x
    x = 5,470,639.94/3,117.43
  6. Step 6: Final answer
    x = 1,754.86

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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.