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Finding the Fourth Proportional to 1,611.79, 2,221.87 and 1,138.14

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Solution

The fourth proportional to 1,611.79, 2,221.87 and 1,138.14 is: 1,568.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.79 : 2,221.87 = 1,138.14 : x
  2. Step 2: Convert to fraction form
    1,611.79/2,221.87 = 1,138.14/x
  3. Step 3: Cross multiply
    1,611.79x = 2,221.87 × 1,138.14
  4. Step 4: Simplify right side
    1,611.79x = 2,528,799.12
  5. Step 5: Solve for x
    x = 2,528,799.12/1,611.79
  6. Step 6: Final answer
    x = 1,568.94

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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.