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Finding the Fourth Proportional to 3,409.52, 4,704.63 and 1,993.32

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Solution

The fourth proportional to 3,409.52, 4,704.63 and 1,993.32 is: 2,750.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.52 : 4,704.63 = 1,993.32 : x
  2. Step 2: Convert to fraction form
    3,409.52/4,704.63 = 1,993.32/x
  3. Step 3: Cross multiply
    3,409.52x = 4,704.63 × 1,993.32
  4. Step 4: Simplify right side
    3,409.52x = 9,377,833.07
  5. Step 5: Solve for x
    x = 9,377,833.07/3,409.52
  6. Step 6: Final answer
    x = 2,750.49

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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.