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Finding the Fourth Proportional to 3,193.50, 4,407.03 and 1,796.25

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Solution

The fourth proportional to 3,193.50, 4,407.03 and 1,796.25 is: 2,478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.50 : 4,407.03 = 1,796.25 : x
  2. Step 2: Convert to fraction form
    3,193.50/4,407.03 = 1,796.25/x
  3. Step 3: Cross multiply
    3,193.50x = 4,407.03 × 1,796.25
  4. Step 4: Simplify right side
    3,193.50x = 7,916,127.64
  5. Step 5: Solve for x
    x = 7,916,127.64/3,193.50
  6. Step 6: Final answer
    x = 2,478.83

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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.