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Finding the Fourth Proportional to 2,802.83, 4,204.09 and 854.88

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Solution

The fourth proportional to 2,802.83, 4,204.09 and 854.88 is: 1,282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.83 : 4,204.09 = 854.88 : x
  2. Step 2: Convert to fraction form
    2,802.83/4,204.09 = 854.88/x
  3. Step 3: Cross multiply
    2,802.83x = 4,204.09 × 854.88
  4. Step 4: Simplify right side
    2,802.83x = 3,593,967.16
  5. Step 5: Solve for x
    x = 3,593,967.16/2,802.83
  6. Step 6: Final answer
    x = 1,282.27

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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.