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Finding the Fourth Proportional to 4,451.74, 6,678 and 1,164.82

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Solution

The fourth proportional to 4,451.74, 6,678 and 1,164.82 is: 1,747.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,451.74 : 6,678 = 1,164.82 : x
  2. Step 2: Convert to fraction form
    4,451.74/6,678 = 1,164.82/x
  3. Step 3: Cross multiply
    4,451.74x = 6,678 × 1,164.82
  4. Step 4: Simplify right side
    4,451.74x = 7,778,667.96
  5. Step 5: Solve for x
    x = 7,778,667.96/4,451.74
  6. Step 6: Final answer
    x = 1,747.33

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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.