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Finding the Fourth Proportional to 2,191.36, 3,286.68 and 652

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Solution

The fourth proportional to 2,191.36, 3,286.68 and 652 is: 977.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.36 : 3,286.68 = 652 : x
  2. Step 2: Convert to fraction form
    2,191.36/3,286.68 = 652/x
  3. Step 3: Cross multiply
    2,191.36x = 3,286.68 × 652
  4. Step 4: Simplify right side
    2,191.36x = 2,142,915.36
  5. Step 5: Solve for x
    x = 2,142,915.36/2,191.36
  6. Step 6: Final answer
    x = 977.89

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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.