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Finding the Fourth Proportional to 3,184.84, 4,777.26 and 1,238.68

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Solution

The fourth proportional to 3,184.84, 4,777.26 and 1,238.68 is: 1,858.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.84 : 4,777.26 = 1,238.68 : x
  2. Step 2: Convert to fraction form
    3,184.84/4,777.26 = 1,238.68/x
  3. Step 3: Cross multiply
    3,184.84x = 4,777.26 × 1,238.68
  4. Step 4: Simplify right side
    3,184.84x = 5,917,496.42
  5. Step 5: Solve for x
    x = 5,917,496.42/3,184.84
  6. Step 6: Final answer
    x = 1,858.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.