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Finding the Fourth Proportional to 2,004.92, 3,005.22 and 963.44

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Solution

The fourth proportional to 2,004.92, 3,005.22 and 963.44 is: 1,444.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.92 : 3,005.22 = 963.44 : x
  2. Step 2: Convert to fraction form
    2,004.92/3,005.22 = 963.44/x
  3. Step 3: Cross multiply
    2,004.92x = 3,005.22 × 963.44
  4. Step 4: Simplify right side
    2,004.92x = 2,895,349.16
  5. Step 5: Solve for x
    x = 2,895,349.16/2,004.92
  6. Step 6: Final answer
    x = 1,444.12

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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.