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Finding the Fourth Proportional to 1,631.16, 2,250.95 and 885.09

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Solution

The fourth proportional to 1,631.16, 2,250.95 and 885.09 is: 1,221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.16 : 2,250.95 = 885.09 : x
  2. Step 2: Convert to fraction form
    1,631.16/2,250.95 = 885.09/x
  3. Step 3: Cross multiply
    1,631.16x = 2,250.95 × 885.09
  4. Step 4: Simplify right side
    1,631.16x = 1,992,288.91
  5. Step 5: Solve for x
    x = 1,992,288.91/1,631.16
  6. Step 6: Final answer
    x = 1,221.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.