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Finding the Fourth Proportional to 3,174.82, 4,760.52 and 1,442.50

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Solution

The fourth proportional to 3,174.82, 4,760.52 and 1,442.50 is: 2,162.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.82 : 4,760.52 = 1,442.50 : x
  2. Step 2: Convert to fraction form
    3,174.82/4,760.52 = 1,442.50/x
  3. Step 3: Cross multiply
    3,174.82x = 4,760.52 × 1,442.50
  4. Step 4: Simplify right side
    3,174.82x = 6,867,050.10
  5. Step 5: Solve for x
    x = 6,867,050.10/3,174.82
  6. Step 6: Final answer
    x = 2,162.97

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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.