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Finding the Fourth Proportional to 2,150.15, 2,967.23 and 1,253.48

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Solution

The fourth proportional to 2,150.15, 2,967.23 and 1,253.48 is: 1,729.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.15 : 2,967.23 = 1,253.48 : x
  2. Step 2: Convert to fraction form
    2,150.15/2,967.23 = 1,253.48/x
  3. Step 3: Cross multiply
    2,150.15x = 2,967.23 × 1,253.48
  4. Step 4: Simplify right side
    2,150.15x = 3,719,351.76
  5. Step 5: Solve for x
    x = 3,719,351.76/2,150.15
  6. Step 6: Final answer
    x = 1,729.81

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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.