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Finding the Fourth Proportional to 3,116.67, 4,301.27 and 1,790.83

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Solution

The fourth proportional to 3,116.67, 4,301.27 and 1,790.83 is: 2,471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.67 : 4,301.27 = 1,790.83 : x
  2. Step 2: Convert to fraction form
    3,116.67/4,301.27 = 1,790.83/x
  3. Step 3: Cross multiply
    3,116.67x = 4,301.27 × 1,790.83
  4. Step 4: Simplify right side
    3,116.67x = 7,702,843.35
  5. Step 5: Solve for x
    x = 7,702,843.35/3,116.67
  6. Step 6: Final answer
    x = 2,471.50

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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.