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Finding the Fourth Proportional to 2,310.81, 3,466.20 and 579.44

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Solution

The fourth proportional to 2,310.81, 3,466.20 and 579.44 is: 869.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.81 : 3,466.20 = 579.44 : x
  2. Step 2: Convert to fraction form
    2,310.81/3,466.20 = 579.44/x
  3. Step 3: Cross multiply
    2,310.81x = 3,466.20 × 579.44
  4. Step 4: Simplify right side
    2,310.81x = 2,008,454.93
  5. Step 5: Solve for x
    x = 2,008,454.93/2,310.81
  6. Step 6: Final answer
    x = 869.16

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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.