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Finding the Fourth Proportional to 2,310.57, 3,465.84 and 579.19

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Solution

The fourth proportional to 2,310.57, 3,465.84 and 579.19 is: 868.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.57 : 3,465.84 = 579.19 : x
  2. Step 2: Convert to fraction form
    2,310.57/3,465.84 = 579.19/x
  3. Step 3: Cross multiply
    2,310.57x = 3,465.84 × 579.19
  4. Step 4: Simplify right side
    2,310.57x = 2,007,379.87
  5. Step 5: Solve for x
    x = 2,007,379.87/2,310.57
  6. Step 6: Final answer
    x = 868.78

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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.