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Finding the Fourth Proportional to 2,310.11, 3,465.14 and 578.73

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Solution

The fourth proportional to 2,310.11, 3,465.14 and 578.73 is: 868.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.11 : 3,465.14 = 578.73 : x
  2. Step 2: Convert to fraction form
    2,310.11/3,465.14 = 578.73/x
  3. Step 3: Cross multiply
    2,310.11x = 3,465.14 × 578.73
  4. Step 4: Simplify right side
    2,310.11x = 2,005,377.58
  5. Step 5: Solve for x
    x = 2,005,377.58/2,310.11
  6. Step 6: Final answer
    x = 868.09

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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.