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Finding the Fourth Proportional to 2,114.52, 3,171.78 and 1,144.95

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Solution

The fourth proportional to 2,114.52, 3,171.78 and 1,144.95 is: 1,717.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.52 : 3,171.78 = 1,144.95 : x
  2. Step 2: Convert to fraction form
    2,114.52/3,171.78 = 1,144.95/x
  3. Step 3: Cross multiply
    2,114.52x = 3,171.78 × 1,144.95
  4. Step 4: Simplify right side
    2,114.52x = 3,631,529.51
  5. Step 5: Solve for x
    x = 3,631,529.51/2,114.52
  6. Step 6: Final answer
    x = 1,717.43

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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.