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Finding the Fourth Proportional to 1,509.82, 2,084.83 and 1,136.15

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Solution

The fourth proportional to 1,509.82, 2,084.83 and 1,136.15 is: 1,568.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.82 : 2,084.83 = 1,136.15 : x
  2. Step 2: Convert to fraction form
    1,509.82/2,084.83 = 1,136.15/x
  3. Step 3: Cross multiply
    1,509.82x = 2,084.83 × 1,136.15
  4. Step 4: Simplify right side
    1,509.82x = 2,368,679.60
  5. Step 5: Solve for x
    x = 2,368,679.60/1,509.82
  6. Step 6: Final answer
    x = 1,568.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.