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Finding the Fourth Proportional to 2,754.77, 4,102.52 and 2,738.97

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Solution

The fourth proportional to 2,754.77, 4,102.52 and 2,738.97 is: 4,079.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.77 : 4,102.52 = 2,738.97 : x
  2. Step 2: Convert to fraction form
    2,754.77/4,102.52 = 2,738.97/x
  3. Step 3: Cross multiply
    2,754.77x = 4,102.52 × 2,738.97
  4. Step 4: Simplify right side
    2,754.77x = 11,236,686.05
  5. Step 5: Solve for x
    x = 11,236,686.05/2,754.77
  6. Step 6: Final answer
    x = 4,079.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.