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Finding the Fourth Proportional to 1,965.92, 2,946.06 and 1,906.76

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Solution

The fourth proportional to 1,965.92, 2,946.06 and 1,906.76 is: 2,857.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.92 : 2,946.06 = 1,906.76 : x
  2. Step 2: Convert to fraction form
    1,965.92/2,946.06 = 1,906.76/x
  3. Step 3: Cross multiply
    1,965.92x = 2,946.06 × 1,906.76
  4. Step 4: Simplify right side
    1,965.92x = 5,617,429.37
  5. Step 5: Solve for x
    x = 5,617,429.37/1,965.92
  6. Step 6: Final answer
    x = 2,857.40

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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.