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Finding the Fourth Proportional to 2,694.60, 4,041.90 and 2,046.60

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Solution

The fourth proportional to 2,694.60, 4,041.90 and 2,046.60 is: 3,069.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.60 : 4,041.90 = 2,046.60 : x
  2. Step 2: Convert to fraction form
    2,694.60/4,041.90 = 2,046.60/x
  3. Step 3: Cross multiply
    2,694.60x = 4,041.90 × 2,046.60
  4. Step 4: Simplify right side
    2,694.60x = 8,272,152.54
  5. Step 5: Solve for x
    x = 8,272,152.54/2,694.60
  6. Step 6: Final answer
    x = 3,069.90

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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.