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Finding the Fourth Proportional to 2,802.14, 4,201.14 and 952.76

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Solution

The fourth proportional to 2,802.14, 4,201.14 and 952.76 is: 1,428.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.14 : 4,201.14 = 952.76 : x
  2. Step 2: Convert to fraction form
    2,802.14/4,201.14 = 952.76/x
  3. Step 3: Cross multiply
    2,802.14x = 4,201.14 × 952.76
  4. Step 4: Simplify right side
    2,802.14x = 4,002,678.15
  5. Step 5: Solve for x
    x = 4,002,678.15/2,802.14
  6. Step 6: Final answer
    x = 1,428.44

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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.