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Finding the Fourth Proportional to 2,208.17, 3,047.25 and 1,199.90

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Solution

The fourth proportional to 2,208.17, 3,047.25 and 1,199.90 is: 1,655.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.17 : 3,047.25 = 1,199.90 : x
  2. Step 2: Convert to fraction form
    2,208.17/3,047.25 = 1,199.90/x
  3. Step 3: Cross multiply
    2,208.17x = 3,047.25 × 1,199.90
  4. Step 4: Simplify right side
    2,208.17x = 3,656,395.28
  5. Step 5: Solve for x
    x = 3,656,395.28/2,208.17
  6. Step 6: Final answer
    x = 1,655.85

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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.