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Finding the Fourth Proportional to 2,076.46, 2,865.02 and 1,192.14

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Solution

The fourth proportional to 2,076.46, 2,865.02 and 1,192.14 is: 1,644.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.46 : 2,865.02 = 1,192.14 : x
  2. Step 2: Convert to fraction form
    2,076.46/2,865.02 = 1,192.14/x
  3. Step 3: Cross multiply
    2,076.46x = 2,865.02 × 1,192.14
  4. Step 4: Simplify right side
    2,076.46x = 3,415,504.94
  5. Step 5: Solve for x
    x = 3,415,504.94/2,076.46
  6. Step 6: Final answer
    x = 1,644.87

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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.