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Finding the Fourth Proportional to 3,078.66, 4,611.06 and 1,968.06

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Solution

The fourth proportional to 3,078.66, 4,611.06 and 1,968.06 is: 2,947.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.66 : 4,611.06 = 1,968.06 : x
  2. Step 2: Convert to fraction form
    3,078.66/4,611.06 = 1,968.06/x
  3. Step 3: Cross multiply
    3,078.66x = 4,611.06 × 1,968.06
  4. Step 4: Simplify right side
    3,078.66x = 9,074,842.74
  5. Step 5: Solve for x
    x = 9,074,842.74/3,078.66
  6. Step 6: Final answer
    x = 2,947.66

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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.