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Finding the Fourth Proportional to 2,865.29, 4,297.25 and 2,094.38

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Solution

The fourth proportional to 2,865.29, 4,297.25 and 2,094.38 is: 3,141.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.29 : 4,297.25 = 2,094.38 : x
  2. Step 2: Convert to fraction form
    2,865.29/4,297.25 = 2,094.38/x
  3. Step 3: Cross multiply
    2,865.29x = 4,297.25 × 2,094.38
  4. Step 4: Simplify right side
    2,865.29x = 9,000,042.50
  5. Step 5: Solve for x
    x = 9,000,042.50/2,865.29
  6. Step 6: Final answer
    x = 3,141.06

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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.