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Finding the Fourth Proportional to 1,212.87, 1,820.82 and 1,009.92

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Solution

The fourth proportional to 1,212.87, 1,820.82 and 1,009.92 is: 1,516.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.87 : 1,820.82 = 1,009.92 : x
  2. Step 2: Convert to fraction form
    1,212.87/1,820.82 = 1,009.92/x
  3. Step 3: Cross multiply
    1,212.87x = 1,820.82 × 1,009.92
  4. Step 4: Simplify right side
    1,212.87x = 1,838,882.53
  5. Step 5: Solve for x
    x = 1,838,882.53/1,212.87
  6. Step 6: Final answer
    x = 1,516.14

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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.