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Finding the Fourth Proportional to 2,310.79, 3,466.14 and 579.43

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Solution

The fourth proportional to 2,310.79, 3,466.14 and 579.43 is: 869.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.79 : 3,466.14 = 579.43 : x
  2. Step 2: Convert to fraction form
    2,310.79/3,466.14 = 579.43/x
  3. Step 3: Cross multiply
    2,310.79x = 3,466.14 × 579.43
  4. Step 4: Simplify right side
    2,310.79x = 2,008,385.50
  5. Step 5: Solve for x
    x = 2,008,385.50/2,310.79
  6. Step 6: Final answer
    x = 869.13

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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.