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Finding the Fourth Proportional to 2,596.25, 3,581.79 and 1,651.79

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Solution

The fourth proportional to 2,596.25, 3,581.79 and 1,651.79 is: 2,278.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.25 : 3,581.79 = 1,651.79 : x
  2. Step 2: Convert to fraction form
    2,596.25/3,581.79 = 1,651.79/x
  3. Step 3: Cross multiply
    2,596.25x = 3,581.79 × 1,651.79
  4. Step 4: Simplify right side
    2,596.25x = 5,916,347.00
  5. Step 5: Solve for x
    x = 5,916,347.00/2,596.25
  6. Step 6: Final answer
    x = 2,278.81

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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.