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Finding the Fourth Proportional to 2,280.91, 3,418.62 and 1,046.62

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Solution

The fourth proportional to 2,280.91, 3,418.62 and 1,046.62 is: 1,568.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.91 : 3,418.62 = 1,046.62 : x
  2. Step 2: Convert to fraction form
    2,280.91/3,418.62 = 1,046.62/x
  3. Step 3: Cross multiply
    2,280.91x = 3,418.62 × 1,046.62
  4. Step 4: Simplify right side
    2,280.91x = 3,577,996.06
  5. Step 5: Solve for x
    x = 3,577,996.06/2,280.91
  6. Step 6: Final answer
    x = 1,568.67

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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.