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Finding the Fourth Proportional to 3,113.93, 4,671.39 and 1,166.28

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Solution

The fourth proportional to 3,113.93, 4,671.39 and 1,166.28 is: 1,749.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.93 : 4,671.39 = 1,166.28 : x
  2. Step 2: Convert to fraction form
    3,113.93/4,671.39 = 1,166.28/x
  3. Step 3: Cross multiply
    3,113.93x = 4,671.39 × 1,166.28
  4. Step 4: Simplify right side
    3,113.93x = 5,448,148.73
  5. Step 5: Solve for x
    x = 5,448,148.73/3,113.93
  6. Step 6: Final answer
    x = 1,749.61

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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.