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Finding the Fourth Proportional to 2,474.18, 3,710.66 and 830.69

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Solution

The fourth proportional to 2,474.18, 3,710.66 and 830.69 is: 1,245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.18 : 3,710.66 = 830.69 : x
  2. Step 2: Convert to fraction form
    2,474.18/3,710.66 = 830.69/x
  3. Step 3: Cross multiply
    2,474.18x = 3,710.66 × 830.69
  4. Step 4: Simplify right side
    2,474.18x = 3,082,408.16
  5. Step 5: Solve for x
    x = 3,082,408.16/2,474.18
  6. Step 6: Final answer
    x = 1,245.83

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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.