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Finding the Fourth Proportional to 3,480.74, 5,222.79 and 1,532.69

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Solution

The fourth proportional to 3,480.74, 5,222.79 and 1,532.69 is: 2,299.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.74 : 5,222.79 = 1,532.69 : x
  2. Step 2: Convert to fraction form
    3,480.74/5,222.79 = 1,532.69/x
  3. Step 3: Cross multiply
    3,480.74x = 5,222.79 × 1,532.69
  4. Step 4: Simplify right side
    3,480.74x = 8,004,918.01
  5. Step 5: Solve for x
    x = 8,004,918.01/3,480.74
  6. Step 6: Final answer
    x = 2,299.77

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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.