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Finding the Fourth Proportional to 1,883.46, 2,821.41 and 906.66

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Solution

The fourth proportional to 1,883.46, 2,821.41 and 906.66 is: 1,358.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.46 : 2,821.41 = 906.66 : x
  2. Step 2: Convert to fraction form
    1,883.46/2,821.41 = 906.66/x
  3. Step 3: Cross multiply
    1,883.46x = 2,821.41 × 906.66
  4. Step 4: Simplify right side
    1,883.46x = 2,558,059.59
  5. Step 5: Solve for x
    x = 2,558,059.59/1,883.46
  6. Step 6: Final answer
    x = 1,358.17

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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.