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Finding the Fourth Proportional to 3,236.66, 4,855.47 and 1,184.50

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Solution

The fourth proportional to 3,236.66, 4,855.47 and 1,184.50 is: 1,776.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,236.66 : 4,855.47 = 1,184.50 : x
  2. Step 2: Convert to fraction form
    3,236.66/4,855.47 = 1,184.50/x
  3. Step 3: Cross multiply
    3,236.66x = 4,855.47 × 1,184.50
  4. Step 4: Simplify right side
    3,236.66x = 5,751,304.22
  5. Step 5: Solve for x
    x = 5,751,304.22/3,236.66
  6. Step 6: Final answer
    x = 1,776.93

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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.