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Finding the Fourth Proportional to 2,551.25, 3,520.31 and 1,606.69

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Solution

The fourth proportional to 2,551.25, 3,520.31 and 1,606.69 is: 2,216.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.25 : 3,520.31 = 1,606.69 : x
  2. Step 2: Convert to fraction form
    2,551.25/3,520.31 = 1,606.69/x
  3. Step 3: Cross multiply
    2,551.25x = 3,520.31 × 1,606.69
  4. Step 4: Simplify right side
    2,551.25x = 5,656,042.09
  5. Step 5: Solve for x
    x = 5,656,042.09/2,551.25
  6. Step 6: Final answer
    x = 2,216.97

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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.