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Finding the Fourth Proportional to 2,202.85, 3,039.98 and 1,208.07

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Solution

The fourth proportional to 2,202.85, 3,039.98 and 1,208.07 is: 1,667.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.85 : 3,039.98 = 1,208.07 : x
  2. Step 2: Convert to fraction form
    2,202.85/3,039.98 = 1,208.07/x
  3. Step 3: Cross multiply
    2,202.85x = 3,039.98 × 1,208.07
  4. Step 4: Simplify right side
    2,202.85x = 3,672,502.60
  5. Step 5: Solve for x
    x = 3,672,502.60/2,202.85
  6. Step 6: Final answer
    x = 1,667.16

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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.