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Finding the Fourth Proportional to 3,443.36, 5,165.54 and 1,594.97

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Solution

The fourth proportional to 3,443.36, 5,165.54 and 1,594.97 is: 2,392.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.36 : 5,165.54 = 1,594.97 : x
  2. Step 2: Convert to fraction form
    3,443.36/5,165.54 = 1,594.97/x
  3. Step 3: Cross multiply
    3,443.36x = 5,165.54 × 1,594.97
  4. Step 4: Simplify right side
    3,443.36x = 8,238,847.53
  5. Step 5: Solve for x
    x = 8,238,847.53/3,443.36
  6. Step 6: Final answer
    x = 2,392.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.