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Finding the Fourth Proportional to 2,595.76, 3,581.76 and 1,601.44

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Solution

The fourth proportional to 2,595.76, 3,581.76 and 1,601.44 is: 2,209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.76 : 3,581.76 = 1,601.44 : x
  2. Step 2: Convert to fraction form
    2,595.76/3,581.76 = 1,601.44/x
  3. Step 3: Cross multiply
    2,595.76x = 3,581.76 × 1,601.44
  4. Step 4: Simplify right side
    2,595.76x = 5,735,973.73
  5. Step 5: Solve for x
    x = 5,735,973.73/2,595.76
  6. Step 6: Final answer
    x = 2,209.75

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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.