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Finding the Fourth Proportional to 3,037.71, 4,556.07 and 845.97

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Solution

The fourth proportional to 3,037.71, 4,556.07 and 845.97 is: 1,268.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037.71 : 4,556.07 = 845.97 : x
  2. Step 2: Convert to fraction form
    3,037.71/4,556.07 = 845.97/x
  3. Step 3: Cross multiply
    3,037.71x = 4,556.07 × 845.97
  4. Step 4: Simplify right side
    3,037.71x = 3,854,298.54
  5. Step 5: Solve for x
    x = 3,854,298.54/3,037.71
  6. Step 6: Final answer
    x = 1,268.82

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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.