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Finding the Fourth Proportional to 2,675.94, 4,013.10 and 801.96

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Solution

The fourth proportional to 2,675.94, 4,013.10 and 801.96 is: 1,202.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.94 : 4,013.10 = 801.96 : x
  2. Step 2: Convert to fraction form
    2,675.94/4,013.10 = 801.96/x
  3. Step 3: Cross multiply
    2,675.94x = 4,013.10 × 801.96
  4. Step 4: Simplify right side
    2,675.94x = 3,218,345.68
  5. Step 5: Solve for x
    x = 3,218,345.68/2,675.94
  6. Step 6: Final answer
    x = 1,202.70

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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.