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Finding the Fourth Proportional to 3,115.67, 4,297.86 and 1,995.98

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Solution

The fourth proportional to 3,115.67, 4,297.86 and 1,995.98 is: 2,753.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.67 : 4,297.86 = 1,995.98 : x
  2. Step 2: Convert to fraction form
    3,115.67/4,297.86 = 1,995.98/x
  3. Step 3: Cross multiply
    3,115.67x = 4,297.86 × 1,995.98
  4. Step 4: Simplify right side
    3,115.67x = 8,578,421.11
  5. Step 5: Solve for x
    x = 8,578,421.11/3,115.67
  6. Step 6: Final answer
    x = 2,753.32

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Why These Related Problems?

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