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Finding the Fourth Proportional to 1,610.78, 2,223.26 and 1,050.27

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Solution

The fourth proportional to 1,610.78, 2,223.26 and 1,050.27 is: 1,449.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.78 : 2,223.26 = 1,050.27 : x
  2. Step 2: Convert to fraction form
    1,610.78/2,223.26 = 1,050.27/x
  3. Step 3: Cross multiply
    1,610.78x = 2,223.26 × 1,050.27
  4. Step 4: Simplify right side
    1,610.78x = 2,335,018.03
  5. Step 5: Solve for x
    x = 2,335,018.03/1,610.78
  6. Step 6: Final answer
    x = 1,449.62

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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.