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Finding the Fourth Proportional to 2,751.67, 4,127.55 and 803.89

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Solution

The fourth proportional to 2,751.67, 4,127.55 and 803.89 is: 1,205.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.67 : 4,127.55 = 803.89 : x
  2. Step 2: Convert to fraction form
    2,751.67/4,127.55 = 803.89/x
  3. Step 3: Cross multiply
    2,751.67x = 4,127.55 × 803.89
  4. Step 4: Simplify right side
    2,751.67x = 3,318,096.17
  5. Step 5: Solve for x
    x = 3,318,096.17/2,751.67
  6. Step 6: Final answer
    x = 1,205.85

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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.