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Finding the Fourth Proportional to 1,946.62, 2,919.93 and 892.30

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Solution

The fourth proportional to 1,946.62, 2,919.93 and 892.30 is: 1,338.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.62 : 2,919.93 = 892.30 : x
  2. Step 2: Convert to fraction form
    1,946.62/2,919.93 = 892.30/x
  3. Step 3: Cross multiply
    1,946.62x = 2,919.93 × 892.30
  4. Step 4: Simplify right side
    1,946.62x = 2,605,453.54
  5. Step 5: Solve for x
    x = 2,605,453.54/1,946.62
  6. Step 6: Final answer
    x = 1,338.45

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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.