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Finding the Fourth Proportional to 3,107, 4,658.98 and 1,462.16

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Solution

The fourth proportional to 3,107, 4,658.98 and 1,462.16 is: 2,192.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107 : 4,658.98 = 1,462.16 : x
  2. Step 2: Convert to fraction form
    3,107/4,658.98 = 1,462.16/x
  3. Step 3: Cross multiply
    3,107x = 4,658.98 × 1,462.16
  4. Step 4: Simplify right side
    3,107x = 6,812,174.20
  5. Step 5: Solve for x
    x = 6,812,174.20/3,107
  6. Step 6: Final answer
    x = 2,192.52

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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.