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Finding the Fourth Proportional to 2,003.82, 3,005.73 and 963.48

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Solution

The fourth proportional to 2,003.82, 3,005.73 and 963.48 is: 1,445.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.82 : 3,005.73 = 963.48 : x
  2. Step 2: Convert to fraction form
    2,003.82/3,005.73 = 963.48/x
  3. Step 3: Cross multiply
    2,003.82x = 3,005.73 × 963.48
  4. Step 4: Simplify right side
    2,003.82x = 2,895,960.74
  5. Step 5: Solve for x
    x = 2,895,960.74/2,003.82
  6. Step 6: Final answer
    x = 1,445.22

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1.5x scale

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.