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Finding the Fourth Proportional to 2,111.82, 3,168.65 and 1,136.78

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Solution

The fourth proportional to 2,111.82, 3,168.65 and 1,136.78 is: 1,705.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.82 : 3,168.65 = 1,136.78 : x
  2. Step 2: Convert to fraction form
    2,111.82/3,168.65 = 1,136.78/x
  3. Step 3: Cross multiply
    2,111.82x = 3,168.65 × 1,136.78
  4. Step 4: Simplify right side
    2,111.82x = 3,602,057.95
  5. Step 5: Solve for x
    x = 3,602,057.95/2,111.82
  6. Step 6: Final answer
    x = 1,705.67

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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.