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Finding the Fourth Proportional to 2,032.77, 2,805.22 and 1,101.27

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Solution

The fourth proportional to 2,032.77, 2,805.22 and 1,101.27 is: 1,519.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.77 : 2,805.22 = 1,101.27 : x
  2. Step 2: Convert to fraction form
    2,032.77/2,805.22 = 1,101.27/x
  3. Step 3: Cross multiply
    2,032.77x = 2,805.22 × 1,101.27
  4. Step 4: Simplify right side
    2,032.77x = 3,089,285.10
  5. Step 5: Solve for x
    x = 3,089,285.10/2,032.77
  6. Step 6: Final answer
    x = 1,519.75

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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.