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Finding the Fourth Proportional to 2,895.86, 4,344.06 and 815.78

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Solution

The fourth proportional to 2,895.86, 4,344.06 and 815.78 is: 1,223.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.86 : 4,344.06 = 815.78 : x
  2. Step 2: Convert to fraction form
    2,895.86/4,344.06 = 815.78/x
  3. Step 3: Cross multiply
    2,895.86x = 4,344.06 × 815.78
  4. Step 4: Simplify right side
    2,895.86x = 3,543,797.27
  5. Step 5: Solve for x
    x = 3,543,797.27/2,895.86
  6. Step 6: Final answer
    x = 1,223.75

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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.