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Finding the Fourth Proportional to 3,280.08, 4,920.03 and 814.85

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Solution

The fourth proportional to 3,280.08, 4,920.03 and 814.85 is: 1,222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.08 : 4,920.03 = 814.85 : x
  2. Step 2: Convert to fraction form
    3,280.08/4,920.03 = 814.85/x
  3. Step 3: Cross multiply
    3,280.08x = 4,920.03 × 814.85
  4. Step 4: Simplify right side
    3,280.08x = 4,009,061.85
  5. Step 5: Solve for x
    x = 4,009,061.85/3,280.08
  6. Step 6: Final answer
    x = 1,222.25

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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.