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Finding the Fourth Proportional to 3,036.69, 4,552.83 and 1,186.20

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Solution

The fourth proportional to 3,036.69, 4,552.83 and 1,186.20 is: 1,778.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,036.69 : 4,552.83 = 1,186.20 : x
  2. Step 2: Convert to fraction form
    3,036.69/4,552.83 = 1,186.20/x
  3. Step 3: Cross multiply
    3,036.69x = 4,552.83 × 1,186.20
  4. Step 4: Simplify right side
    3,036.69x = 5,400,566.95
  5. Step 5: Solve for x
    x = 5,400,566.95/3,036.69
  6. Step 6: Final answer
    x = 1,778.44

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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.