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Finding the Fourth Proportional to 1,674.24, 2,512.80 and 809.16

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Solution

The fourth proportional to 1,674.24, 2,512.80 and 809.16 is: 1,214.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.24 : 2,512.80 = 809.16 : x
  2. Step 2: Convert to fraction form
    1,674.24/2,512.80 = 809.16/x
  3. Step 3: Cross multiply
    1,674.24x = 2,512.80 × 809.16
  4. Step 4: Simplify right side
    1,674.24x = 2,033,257.25
  5. Step 5: Solve for x
    x = 2,033,257.25/1,674.24
  6. Step 6: Final answer
    x = 1,214.44

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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.