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Finding the Fourth Proportional to 3,192.92, 4,796.92 and 1,880.06

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Solution

The fourth proportional to 3,192.92, 4,796.92 and 1,880.06 is: 2,824.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.92 : 4,796.92 = 1,880.06 : x
  2. Step 2: Convert to fraction form
    3,192.92/4,796.92 = 1,880.06/x
  3. Step 3: Cross multiply
    3,192.92x = 4,796.92 × 1,880.06
  4. Step 4: Simplify right side
    3,192.92x = 9,018,497.42
  5. Step 5: Solve for x
    x = 9,018,497.42/3,192.92
  6. Step 6: Final answer
    x = 2,824.53

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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.