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Finding the Fourth Proportional to 1,893.09, 2,838.83 and 660.14

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Solution

The fourth proportional to 1,893.09, 2,838.83 and 660.14 is: 989.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.09 : 2,838.83 = 660.14 : x
  2. Step 2: Convert to fraction form
    1,893.09/2,838.83 = 660.14/x
  3. Step 3: Cross multiply
    1,893.09x = 2,838.83 × 660.14
  4. Step 4: Simplify right side
    1,893.09x = 1,874,007.74
  5. Step 5: Solve for x
    x = 1,874,007.74/1,893.09
  6. Step 6: Final answer
    x = 989.92

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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.