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Finding the Fourth Proportional to 1,450.49, 2,001.92 and 891.14

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Solution

The fourth proportional to 1,450.49, 2,001.92 and 891.14 is: 1,229.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.49 : 2,001.92 = 891.14 : x
  2. Step 2: Convert to fraction form
    1,450.49/2,001.92 = 891.14/x
  3. Step 3: Cross multiply
    1,450.49x = 2,001.92 × 891.14
  4. Step 4: Simplify right side
    1,450.49x = 1,783,976.52
  5. Step 5: Solve for x
    x = 1,783,976.52/1,450.49
  6. Step 6: Final answer
    x = 1,229.92

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1.5x scale

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.