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Finding the Fourth Proportional to 2,187.82, 3,283.17 and 955.27

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Solution

The fourth proportional to 2,187.82, 3,283.17 and 955.27 is: 1,433.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.82 : 3,283.17 = 955.27 : x
  2. Step 2: Convert to fraction form
    2,187.82/3,283.17 = 955.27/x
  3. Step 3: Cross multiply
    2,187.82x = 3,283.17 × 955.27
  4. Step 4: Simplify right side
    2,187.82x = 3,136,313.81
  5. Step 5: Solve for x
    x = 3,136,313.81/2,187.82
  6. Step 6: Final answer
    x = 1,433.53

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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.