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Finding the Fourth Proportional to 2,310.58, 3,465.99 and 579.22

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Solution

The fourth proportional to 2,310.58, 3,465.99 and 579.22 is: 868.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.58 : 3,465.99 = 579.22 : x
  2. Step 2: Convert to fraction form
    2,310.58/3,465.99 = 579.22/x
  3. Step 3: Cross multiply
    2,310.58x = 3,465.99 × 579.22
  4. Step 4: Simplify right side
    2,310.58x = 2,007,570.73
  5. Step 5: Solve for x
    x = 2,007,570.73/2,310.58
  6. Step 6: Final answer
    x = 868.86

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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.