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Finding the Fourth Proportional to 2,697.54, 3,723.93 and 1,704.33

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Solution

The fourth proportional to 2,697.54, 3,723.93 and 1,704.33 is: 2,352.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.54 : 3,723.93 = 1,704.33 : x
  2. Step 2: Convert to fraction form
    2,697.54/3,723.93 = 1,704.33/x
  3. Step 3: Cross multiply
    2,697.54x = 3,723.93 × 1,704.33
  4. Step 4: Simplify right side
    2,697.54x = 6,346,805.62
  5. Step 5: Solve for x
    x = 6,346,805.62/2,697.54
  6. Step 6: Final answer
    x = 2,352.81

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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.