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Finding the Fourth Proportional to 3,305.95, 4,956.71 and 1,744.30

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Solution

The fourth proportional to 3,305.95, 4,956.71 and 1,744.30 is: 2,615.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.95 : 4,956.71 = 1,744.30 : x
  2. Step 2: Convert to fraction form
    3,305.95/4,956.71 = 1,744.30/x
  3. Step 3: Cross multiply
    3,305.95x = 4,956.71 × 1,744.30
  4. Step 4: Simplify right side
    3,305.95x = 8,645,986.73
  5. Step 5: Solve for x
    x = 8,645,986.73/3,305.95
  6. Step 6: Final answer
    x = 2,615.28

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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.