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Finding the Fourth Proportional to 2,115.93, 3,174.15 and 799.89

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Solution

The fourth proportional to 2,115.93, 3,174.15 and 799.89 is: 1,199.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.93 : 3,174.15 = 799.89 : x
  2. Step 2: Convert to fraction form
    2,115.93/3,174.15 = 799.89/x
  3. Step 3: Cross multiply
    2,115.93x = 3,174.15 × 799.89
  4. Step 4: Simplify right side
    2,115.93x = 2,538,970.84
  5. Step 5: Solve for x
    x = 2,538,970.84/2,115.93
  6. Step 6: Final answer
    x = 1,199.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.