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Finding the Fourth Proportional to 3,282.92, 4,530.47 and 1,790.83

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Solution

The fourth proportional to 3,282.92, 4,530.47 and 1,790.83 is: 2,471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.92 : 4,530.47 = 1,790.83 : x
  2. Step 2: Convert to fraction form
    3,282.92/4,530.47 = 1,790.83/x
  3. Step 3: Cross multiply
    3,282.92x = 4,530.47 × 1,790.83
  4. Step 4: Simplify right side
    3,282.92x = 8,113,301.59
  5. Step 5: Solve for x
    x = 8,113,301.59/3,282.92
  6. Step 6: Final answer
    x = 2,471.37

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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.