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Finding the Fourth Proportional to 2,208.99, 3,048.38 and 1,200.68

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Solution

The fourth proportional to 2,208.99, 3,048.38 and 1,200.68 is: 1,656.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.99 : 3,048.38 = 1,200.68 : x
  2. Step 2: Convert to fraction form
    2,208.99/3,048.38 = 1,200.68/x
  3. Step 3: Cross multiply
    2,208.99x = 3,048.38 × 1,200.68
  4. Step 4: Simplify right side
    2,208.99x = 3,660,128.90
  5. Step 5: Solve for x
    x = 3,660,128.90/2,208.99
  6. Step 6: Final answer
    x = 1,656.92

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Why These Related Problems?

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