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Finding the Fourth Proportional to 2,480.56, 3,715.98 and 1,601.80

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Solution

The fourth proportional to 2,480.56, 3,715.98 and 1,601.80 is: 2,399.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.56 : 3,715.98 = 1,601.80 : x
  2. Step 2: Convert to fraction form
    2,480.56/3,715.98 = 1,601.80/x
  3. Step 3: Cross multiply
    2,480.56x = 3,715.98 × 1,601.80
  4. Step 4: Simplify right side
    2,480.56x = 5,952,256.76
  5. Step 5: Solve for x
    x = 5,952,256.76/2,480.56
  6. Step 6: Final answer
    x = 2,399.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.