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Finding the Fourth Proportional to 2,114.53, 3,171.02 and 727.50

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Solution

The fourth proportional to 2,114.53, 3,171.02 and 727.50 is: 1,090.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.53 : 3,171.02 = 727.50 : x
  2. Step 2: Convert to fraction form
    2,114.53/3,171.02 = 727.50/x
  3. Step 3: Cross multiply
    2,114.53x = 3,171.02 × 727.50
  4. Step 4: Simplify right side
    2,114.53x = 2,306,918.87
  5. Step 5: Solve for x
    x = 2,306,918.87/2,114.53
  6. Step 6: Final answer
    x = 1,090.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.