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Finding the Fourth Proportional to 2,763.72, 4,144.86 and 815.40

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Solution

The fourth proportional to 2,763.72, 4,144.86 and 815.40 is: 1,222.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.72 : 4,144.86 = 815.40 : x
  2. Step 2: Convert to fraction form
    2,763.72/4,144.86 = 815.40/x
  3. Step 3: Cross multiply
    2,763.72x = 4,144.86 × 815.40
  4. Step 4: Simplify right side
    2,763.72x = 3,379,718.84
  5. Step 5: Solve for x
    x = 3,379,718.84/2,763.72
  6. Step 6: Final answer
    x = 1,222.89

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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.