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Finding the Fourth Proportional to 3,117.06, 4,676.49 and 1,169.41

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Solution

The fourth proportional to 3,117.06, 4,676.49 and 1,169.41 is: 1,754.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.06 : 4,676.49 = 1,169.41 : x
  2. Step 2: Convert to fraction form
    3,117.06/4,676.49 = 1,169.41/x
  3. Step 3: Cross multiply
    3,117.06x = 4,676.49 × 1,169.41
  4. Step 4: Simplify right side
    3,117.06x = 5,468,734.17
  5. Step 5: Solve for x
    x = 5,468,734.17/3,117.06
  6. Step 6: Final answer
    x = 1,754.45

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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.