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Finding the Fourth Proportional to 3,203.98, 4,421.81 and 1,944.75

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Solution

The fourth proportional to 3,203.98, 4,421.81 and 1,944.75 is: 2,683.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.98 : 4,421.81 = 1,944.75 : x
  2. Step 2: Convert to fraction form
    3,203.98/4,421.81 = 1,944.75/x
  3. Step 3: Cross multiply
    3,203.98x = 4,421.81 × 1,944.75
  4. Step 4: Simplify right side
    3,203.98x = 8,599,294.22
  5. Step 5: Solve for x
    x = 8,599,294.22/3,203.98
  6. Step 6: Final answer
    x = 2,683.94

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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.