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Finding the Fourth Proportional to 2,979.62, 4,467.99 and 899.23

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Solution

The fourth proportional to 2,979.62, 4,467.99 and 899.23 is: 1,348.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,979.62 : 4,467.99 = 899.23 : x
  2. Step 2: Convert to fraction form
    2,979.62/4,467.99 = 899.23/x
  3. Step 3: Cross multiply
    2,979.62x = 4,467.99 × 899.23
  4. Step 4: Simplify right side
    2,979.62x = 4,017,750.65
  5. Step 5: Solve for x
    x = 4,017,750.65/2,979.62
  6. Step 6: Final answer
    x = 1,348.41

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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.