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Finding the Fourth Proportional to 2,310.81, 3,466.21 and 1,079.08

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Solution

The fourth proportional to 2,310.81, 3,466.21 and 1,079.08 is: 1,618.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.81 : 3,466.21 = 1,079.08 : x
  2. Step 2: Convert to fraction form
    2,310.81/3,466.21 = 1,079.08/x
  3. Step 3: Cross multiply
    2,310.81x = 3,466.21 × 1,079.08
  4. Step 4: Simplify right side
    2,310.81x = 3,740,317.89
  5. Step 5: Solve for x
    x = 3,740,317.89/2,310.81
  6. Step 6: Final answer
    x = 1,618.62

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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.