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Finding the Fourth Proportional to 2,753.10, 3,800.02 and 1,704.58

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Solution

The fourth proportional to 2,753.10, 3,800.02 and 1,704.58 is: 2,352.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.10 : 3,800.02 = 1,704.58 : x
  2. Step 2: Convert to fraction form
    2,753.10/3,800.02 = 1,704.58/x
  3. Step 3: Cross multiply
    2,753.10x = 3,800.02 × 1,704.58
  4. Step 4: Simplify right side
    2,753.10x = 6,477,438.09
  5. Step 5: Solve for x
    x = 6,477,438.09/2,753.10
  6. Step 6: Final answer
    x = 2,352.78

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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.