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Finding the Fourth Proportional to 2,310.90, 3,466.42 and 579.56

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Solution

The fourth proportional to 2,310.90, 3,466.42 and 579.56 is: 869.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.90 : 3,466.42 = 579.56 : x
  2. Step 2: Convert to fraction form
    2,310.90/3,466.42 = 579.56/x
  3. Step 3: Cross multiply
    2,310.90x = 3,466.42 × 579.56
  4. Step 4: Simplify right side
    2,310.90x = 2,008,998.38
  5. Step 5: Solve for x
    x = 2,008,998.38/2,310.90
  6. Step 6: Final answer
    x = 869.36

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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.