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Finding the Fourth Proportional to 3,193.44, 4,783.20 and 1,729.50

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Solution

The fourth proportional to 3,193.44, 4,783.20 and 1,729.50 is: 2,590.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.44 : 4,783.20 = 1,729.50 : x
  2. Step 2: Convert to fraction form
    3,193.44/4,783.20 = 1,729.50/x
  3. Step 3: Cross multiply
    3,193.44x = 4,783.20 × 1,729.50
  4. Step 4: Simplify right side
    3,193.44x = 8,272,544.40
  5. Step 5: Solve for x
    x = 8,272,544.40/3,193.44
  6. Step 6: Final answer
    x = 2,590.48

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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.