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Finding the Fourth Proportional to 2,150.80, 2,967.24 and 1,652.56

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Solution

The fourth proportional to 2,150.80, 2,967.24 and 1,652.56 is: 2,279.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.80 : 2,967.24 = 1,652.56 : x
  2. Step 2: Convert to fraction form
    2,150.80/2,967.24 = 1,652.56/x
  3. Step 3: Cross multiply
    2,150.80x = 2,967.24 × 1,652.56
  4. Step 4: Simplify right side
    2,150.80x = 4,903,542.13
  5. Step 5: Solve for x
    x = 4,903,542.13/2,150.80
  6. Step 6: Final answer
    x = 2,279.87

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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.