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Finding the Fourth Proportional to 1,867.68, 2,571.60 and 1,601.76

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Solution

The fourth proportional to 1,867.68, 2,571.60 and 1,601.76 is: 2,205.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.68 : 2,571.60 = 1,601.76 : x
  2. Step 2: Convert to fraction form
    1,867.68/2,571.60 = 1,601.76/x
  3. Step 3: Cross multiply
    1,867.68x = 2,571.60 × 1,601.76
  4. Step 4: Simplify right side
    1,867.68x = 4,119,086.02
  5. Step 5: Solve for x
    x = 4,119,086.02/1,867.68
  6. Step 6: Final answer
    x = 2,205.46

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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.