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Finding the Fourth Proportional to 2,208.81, 3,311.97 and 975.57

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Solution

The fourth proportional to 2,208.81, 3,311.97 and 975.57 is: 1,462.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.81 : 3,311.97 = 975.57 : x
  2. Step 2: Convert to fraction form
    2,208.81/3,311.97 = 975.57/x
  3. Step 3: Cross multiply
    2,208.81x = 3,311.97 × 975.57
  4. Step 4: Simplify right side
    2,208.81x = 3,231,058.57
  5. Step 5: Solve for x
    x = 3,231,058.57/2,208.81
  6. Step 6: Final answer
    x = 1,462.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.