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Finding the Fourth Proportional to 3,280.17, 4,920.18 and 814.96

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Solution

The fourth proportional to 3,280.17, 4,920.18 and 814.96 is: 1,222.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.17 : 4,920.18 = 814.96 : x
  2. Step 2: Convert to fraction form
    3,280.17/4,920.18 = 814.96/x
  3. Step 3: Cross multiply
    3,280.17x = 4,920.18 × 814.96
  4. Step 4: Simplify right side
    3,280.17x = 4,009,749.89
  5. Step 5: Solve for x
    x = 4,009,749.89/3,280.17
  6. Step 6: Final answer
    x = 1,222.42

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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.