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Finding the Fourth Proportional to 1,469.32, 2,201.10 and 1,057.48

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Solution

The fourth proportional to 1,469.32, 2,201.10 and 1,057.48 is: 1,584.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.32 : 2,201.10 = 1,057.48 : x
  2. Step 2: Convert to fraction form
    1,469.32/2,201.10 = 1,057.48/x
  3. Step 3: Cross multiply
    1,469.32x = 2,201.10 × 1,057.48
  4. Step 4: Simplify right side
    1,469.32x = 2,327,619.23
  5. Step 5: Solve for x
    x = 2,327,619.23/1,469.32
  6. Step 6: Final answer
    x = 1,584.15

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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.