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Finding the Fourth Proportional to 3,114.89, 4,297.35 and 1,995.65

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Solution

The fourth proportional to 3,114.89, 4,297.35 and 1,995.65 is: 2,753.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.89 : 4,297.35 = 1,995.65 : x
  2. Step 2: Convert to fraction form
    3,114.89/4,297.35 = 1,995.65/x
  3. Step 3: Cross multiply
    3,114.89x = 4,297.35 × 1,995.65
  4. Step 4: Simplify right side
    3,114.89x = 8,576,006.53
  5. Step 5: Solve for x
    x = 8,576,006.53/3,114.89
  6. Step 6: Final answer
    x = 2,753.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.