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Finding the Fourth Proportional to 1,154.33, 1,727.73 and 1,094.18

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Solution

The fourth proportional to 1,154.33, 1,727.73 and 1,094.18 is: 1,637.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.33 : 1,727.73 = 1,094.18 : x
  2. Step 2: Convert to fraction form
    1,154.33/1,727.73 = 1,094.18/x
  3. Step 3: Cross multiply
    1,154.33x = 1,727.73 × 1,094.18
  4. Step 4: Simplify right side
    1,154.33x = 1,890,453.55
  5. Step 5: Solve for x
    x = 1,890,453.55/1,154.33
  6. Step 6: Final answer
    x = 1,637.71

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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.