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Finding the Fourth Proportional to 2,596.71, 3,581.58 and 1,601.63

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Solution

The fourth proportional to 2,596.71, 3,581.58 and 1,601.63 is: 2,209.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.71 : 3,581.58 = 1,601.63 : x
  2. Step 2: Convert to fraction form
    2,596.71/3,581.58 = 1,601.63/x
  3. Step 3: Cross multiply
    2,596.71x = 3,581.58 × 1,601.63
  4. Step 4: Simplify right side
    2,596.71x = 5,736,365.98
  5. Step 5: Solve for x
    x = 5,736,365.98/2,596.71
  6. Step 6: Final answer
    x = 2,209.09

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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.