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Finding the Fourth Proportional to 3,173.43, 4,379.34 and 1,737.80

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Solution

The fourth proportional to 3,173.43, 4,379.34 and 1,737.80 is: 2,398.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.43 : 4,379.34 = 1,737.80 : x
  2. Step 2: Convert to fraction form
    3,173.43/4,379.34 = 1,737.80/x
  3. Step 3: Cross multiply
    3,173.43x = 4,379.34 × 1,737.80
  4. Step 4: Simplify right side
    3,173.43x = 7,610,395.16
  5. Step 5: Solve for x
    x = 7,610,395.16/3,173.43
  6. Step 6: Final answer
    x = 2,398.16

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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.