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Finding the Fourth Proportional to 2,310.90, 3,466.19 and 579.54

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Solution

The fourth proportional to 2,310.90, 3,466.19 and 579.54 is: 869.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.90 : 3,466.19 = 579.54 : x
  2. Step 2: Convert to fraction form
    2,310.90/3,466.19 = 579.54/x
  3. Step 3: Cross multiply
    2,310.90x = 3,466.19 × 579.54
  4. Step 4: Simplify right side
    2,310.90x = 2,008,795.75
  5. Step 5: Solve for x
    x = 2,008,795.75/2,310.90
  6. Step 6: Final answer
    x = 869.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.