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Finding the Fourth Proportional to 3,117.66, 4,675.26 and 1,168.80

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Solution

The fourth proportional to 3,117.66, 4,675.26 and 1,168.80 is: 1,752.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.66 : 4,675.26 = 1,168.80 : x
  2. Step 2: Convert to fraction form
    3,117.66/4,675.26 = 1,168.80/x
  3. Step 3: Cross multiply
    3,117.66x = 4,675.26 × 1,168.80
  4. Step 4: Simplify right side
    3,117.66x = 5,464,443.89
  5. Step 5: Solve for x
    x = 5,464,443.89/3,117.66
  6. Step 6: Final answer
    x = 1,752.74

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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.