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Finding the Fourth Proportional to 3,448.93, 5,171.49 and 1,599.02

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Solution

The fourth proportional to 3,448.93, 5,171.49 and 1,599.02 is: 2,397.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.93 : 5,171.49 = 1,599.02 : x
  2. Step 2: Convert to fraction form
    3,448.93/5,171.49 = 1,599.02/x
  3. Step 3: Cross multiply
    3,448.93x = 5,171.49 × 1,599.02
  4. Step 4: Simplify right side
    3,448.93x = 8,269,315.94
  5. Step 5: Solve for x
    x = 8,269,315.94/3,448.93
  6. Step 6: Final answer
    x = 2,397.65

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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.