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Finding the Fourth Proportional to 2,310.57, 3,465.72 and 579.20

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Solution

The fourth proportional to 2,310.57, 3,465.72 and 579.20 is: 868.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.57 : 3,465.72 = 579.20 : x
  2. Step 2: Convert to fraction form
    2,310.57/3,465.72 = 579.20/x
  3. Step 3: Cross multiply
    2,310.57x = 3,465.72 × 579.20
  4. Step 4: Simplify right side
    2,310.57x = 2,007,327.70
  5. Step 5: Solve for x
    x = 2,007,327.70/2,310.57
  6. Step 6: Final answer
    x = 868.76

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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.