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Finding the Fourth Proportional to 2,208.86, 3,048.17 and 1,200.52

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Solution

The fourth proportional to 2,208.86, 3,048.17 and 1,200.52 is: 1,656.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.86 : 3,048.17 = 1,200.52 : x
  2. Step 2: Convert to fraction form
    2,208.86/3,048.17 = 1,200.52/x
  3. Step 3: Cross multiply
    2,208.86x = 3,048.17 × 1,200.52
  4. Step 4: Simplify right side
    2,208.86x = 3,659,375.43
  5. Step 5: Solve for x
    x = 3,659,375.43/2,208.86
  6. Step 6: Final answer
    x = 1,656.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.