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Finding the Fourth Proportional to 2,208.49, 3,047.70 and 1,200.19

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Solution

The fourth proportional to 2,208.49, 3,047.70 and 1,200.19 is: 1,656.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.49 : 3,047.70 = 1,200.19 : x
  2. Step 2: Convert to fraction form
    2,208.49/3,047.70 = 1,200.19/x
  3. Step 3: Cross multiply
    2,208.49x = 3,047.70 × 1,200.19
  4. Step 4: Simplify right side
    2,208.49x = 3,657,797.82
  5. Step 5: Solve for x
    x = 3,657,797.82/2,208.49
  6. Step 6: Final answer
    x = 1,656.25

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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.