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Finding the Fourth Proportional to 2,105.69, 3,155.31 and 1,062.77

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Solution

The fourth proportional to 2,105.69, 3,155.31 and 1,062.77 is: 1,592.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.69 : 3,155.31 = 1,062.77 : x
  2. Step 2: Convert to fraction form
    2,105.69/3,155.31 = 1,062.77/x
  3. Step 3: Cross multiply
    2,105.69x = 3,155.31 × 1,062.77
  4. Step 4: Simplify right side
    2,105.69x = 3,353,353.03
  5. Step 5: Solve for x
    x = 3,353,353.03/2,105.69
  6. Step 6: Final answer
    x = 1,592.52

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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.