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Finding the Fourth Proportional to 2,965.20, 4,447.80 and 913.20

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Solution

The fourth proportional to 2,965.20, 4,447.80 and 913.20 is: 1,369.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.20 : 4,447.80 = 913.20 : x
  2. Step 2: Convert to fraction form
    2,965.20/4,447.80 = 913.20/x
  3. Step 3: Cross multiply
    2,965.20x = 4,447.80 × 913.20
  4. Step 4: Simplify right side
    2,965.20x = 4,061,730.96
  5. Step 5: Solve for x
    x = 4,061,730.96/2,965.20
  6. Step 6: Final answer
    x = 1,369.80

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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.