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Finding the Fourth Proportional to 3,003.92, 4,508.16 and 1,963.64

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Solution

The fourth proportional to 3,003.92, 4,508.16 and 1,963.64 is: 2,946.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.92 : 4,508.16 = 1,963.64 : x
  2. Step 2: Convert to fraction form
    3,003.92/4,508.16 = 1,963.64/x
  3. Step 3: Cross multiply
    3,003.92x = 4,508.16 × 1,963.64
  4. Step 4: Simplify right side
    3,003.92x = 8,852,403.30
  5. Step 5: Solve for x
    x = 8,852,403.30/3,003.92
  6. Step 6: Final answer
    x = 2,946.95

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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.