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Finding the Fourth Proportional to 2,802.26, 4,204.02 and 854.62

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Solution

The fourth proportional to 2,802.26, 4,204.02 and 854.62 is: 1,282.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.26 : 4,204.02 = 854.62 : x
  2. Step 2: Convert to fraction form
    2,802.26/4,204.02 = 854.62/x
  3. Step 3: Cross multiply
    2,802.26x = 4,204.02 × 854.62
  4. Step 4: Simplify right side
    2,802.26x = 3,592,839.57
  5. Step 5: Solve for x
    x = 3,592,839.57/2,802.26
  6. Step 6: Final answer
    x = 1,282.12

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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.