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Finding the Fourth Proportional to 3,182.84, 4,776.18 and 1,236.68

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Solution

The fourth proportional to 3,182.84, 4,776.18 and 1,236.68 is: 1,855.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.84 : 4,776.18 = 1,236.68 : x
  2. Step 2: Convert to fraction form
    3,182.84/4,776.18 = 1,236.68/x
  3. Step 3: Cross multiply
    3,182.84x = 4,776.18 × 1,236.68
  4. Step 4: Simplify right side
    3,182.84x = 5,906,606.28
  5. Step 5: Solve for x
    x = 5,906,606.28/3,182.84
  6. Step 6: Final answer
    x = 1,855.77

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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.