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Finding the Fourth Proportional to 3,281.54, 4,920.50 and 2,242.71

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Solution

The fourth proportional to 3,281.54, 4,920.50 and 2,242.71 is: 3,362.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.54 : 4,920.50 = 2,242.71 : x
  2. Step 2: Convert to fraction form
    3,281.54/4,920.50 = 2,242.71/x
  3. Step 3: Cross multiply
    3,281.54x = 4,920.50 × 2,242.71
  4. Step 4: Simplify right side
    3,281.54x = 11,035,243.34
  5. Step 5: Solve for x
    x = 11,035,243.34/3,281.54
  6. Step 6: Final answer
    x = 3,362.83

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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.