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Finding the Fourth Proportional to 2,758.31, 4,136.09 and 909.21

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Solution

The fourth proportional to 2,758.31, 4,136.09 and 909.21 is: 1,363.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.31 : 4,136.09 = 909.21 : x
  2. Step 2: Convert to fraction form
    2,758.31/4,136.09 = 909.21/x
  3. Step 3: Cross multiply
    2,758.31x = 4,136.09 × 909.21
  4. Step 4: Simplify right side
    2,758.31x = 3,760,569.84
  5. Step 5: Solve for x
    x = 3,760,569.84/2,758.31
  6. Step 6: Final answer
    x = 1,363.36

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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.