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Finding the Fourth Proportional to 3,112.92, 4,671 and 1,468.62

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Solution

The fourth proportional to 3,112.92, 4,671 and 1,468.62 is: 2,203.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.92 : 4,671 = 1,468.62 : x
  2. Step 2: Convert to fraction form
    3,112.92/4,671 = 1,468.62/x
  3. Step 3: Cross multiply
    3,112.92x = 4,671 × 1,468.62
  4. Step 4: Simplify right side
    3,112.92x = 6,859,924.02
  5. Step 5: Solve for x
    x = 6,859,924.02/3,112.92
  6. Step 6: Final answer
    x = 2,203.69

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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.