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Finding the Fourth Proportional to 3,184.82, 4,778.50 and 1,237.58

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Solution

The fourth proportional to 3,184.82, 4,778.50 and 1,237.58 is: 1,856.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.82 : 4,778.50 = 1,237.58 : x
  2. Step 2: Convert to fraction form
    3,184.82/4,778.50 = 1,237.58/x
  3. Step 3: Cross multiply
    3,184.82x = 4,778.50 × 1,237.58
  4. Step 4: Simplify right side
    3,184.82x = 5,913,776.03
  5. Step 5: Solve for x
    x = 5,913,776.03/3,184.82
  6. Step 6: Final answer
    x = 1,856.86

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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.