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Finding the Fourth Proportional to 2,046.12, 3,069.16 and 1,352.62

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Solution

The fourth proportional to 2,046.12, 3,069.16 and 1,352.62 is: 2,028.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.12 : 3,069.16 = 1,352.62 : x
  2. Step 2: Convert to fraction form
    2,046.12/3,069.16 = 1,352.62/x
  3. Step 3: Cross multiply
    2,046.12x = 3,069.16 × 1,352.62
  4. Step 4: Simplify right side
    2,046.12x = 4,151,407.20
  5. Step 5: Solve for x
    x = 4,151,407.20/2,046.12
  6. Step 6: Final answer
    x = 2,028.92

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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.