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Finding the Fourth Proportional to 1,630.90, 2,447.42 and 809.88

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Solution

The fourth proportional to 1,630.90, 2,447.42 and 809.88 is: 1,215.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.90 : 2,447.42 = 809.88 : x
  2. Step 2: Convert to fraction form
    1,630.90/2,447.42 = 809.88/x
  3. Step 3: Cross multiply
    1,630.90x = 2,447.42 × 809.88
  4. Step 4: Simplify right side
    1,630.90x = 1,982,116.51
  5. Step 5: Solve for x
    x = 1,982,116.51/1,630.90
  6. Step 6: Final answer
    x = 1,215.35

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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.