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Finding the Fourth Proportional to 1,631.88, 2,448.60 and 809.16

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Solution

The fourth proportional to 1,631.88, 2,448.60 and 809.16 is: 1,214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.88 : 2,448.60 = 809.16 : x
  2. Step 2: Convert to fraction form
    1,631.88/2,448.60 = 809.16/x
  3. Step 3: Cross multiply
    1,631.88x = 2,448.60 × 809.16
  4. Step 4: Simplify right side
    1,631.88x = 1,981,309.18
  5. Step 5: Solve for x
    x = 1,981,309.18/1,631.88
  6. Step 6: Final answer
    x = 1,214.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.