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Finding the Fourth Proportional to 2,679.47, 4,019.81 and 830.64

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Solution

The fourth proportional to 2,679.47, 4,019.81 and 830.64 is: 1,246.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.47 : 4,019.81 = 830.64 : x
  2. Step 2: Convert to fraction form
    2,679.47/4,019.81 = 830.64/x
  3. Step 3: Cross multiply
    2,679.47x = 4,019.81 × 830.64
  4. Step 4: Simplify right side
    2,679.47x = 3,339,010.83
  5. Step 5: Solve for x
    x = 3,339,010.83/2,679.47
  6. Step 6: Final answer
    x = 1,246.15

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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.