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Finding the Fourth Proportional to 2,802.92, 4,204.10 and 855.14

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Solution

The fourth proportional to 2,802.92, 4,204.10 and 855.14 is: 1,282.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.92 : 4,204.10 = 855.14 : x
  2. Step 2: Convert to fraction form
    2,802.92/4,204.10 = 855.14/x
  3. Step 3: Cross multiply
    2,802.92x = 4,204.10 × 855.14
  4. Step 4: Simplify right side
    2,802.92x = 3,595,094.07
  5. Step 5: Solve for x
    x = 3,595,094.07/2,802.92
  6. Step 6: Final answer
    x = 1,282.62

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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.