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Finding the Fourth Proportional to 2,758.14, 4,136.76 and 909.18

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Solution

The fourth proportional to 2,758.14, 4,136.76 and 909.18 is: 1,363.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.14 : 4,136.76 = 909.18 : x
  2. Step 2: Convert to fraction form
    2,758.14/4,136.76 = 909.18/x
  3. Step 3: Cross multiply
    2,758.14x = 4,136.76 × 909.18
  4. Step 4: Simplify right side
    2,758.14x = 3,761,059.46
  5. Step 5: Solve for x
    x = 3,761,059.46/2,758.14
  6. Step 6: Final answer
    x = 1,363.62

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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.