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Finding the Fourth Proportional to 2,109.99, 3,166.38 and 1,136.76

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Solution

The fourth proportional to 2,109.99, 3,166.38 and 1,136.76 is: 1,705.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.99 : 3,166.38 = 1,136.76 : x
  2. Step 2: Convert to fraction form
    2,109.99/3,166.38 = 1,136.76/x
  3. Step 3: Cross multiply
    2,109.99x = 3,166.38 × 1,136.76
  4. Step 4: Simplify right side
    2,109.99x = 3,599,414.13
  5. Step 5: Solve for x
    x = 3,599,414.13/2,109.99
  6. Step 6: Final answer
    x = 1,705.89

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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.