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Finding the Fourth Proportional to 2,042.64, 3,063.20 and 809.64

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Solution

The fourth proportional to 2,042.64, 3,063.20 and 809.64 is: 1,214.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.64 : 3,063.20 = 809.64 : x
  2. Step 2: Convert to fraction form
    2,042.64/3,063.20 = 809.64/x
  3. Step 3: Cross multiply
    2,042.64x = 3,063.20 × 809.64
  4. Step 4: Simplify right side
    2,042.64x = 2,480,089.25
  5. Step 5: Solve for x
    x = 2,480,089.25/2,042.64
  6. Step 6: Final answer
    x = 1,214.16

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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.