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Finding the Fourth Proportional to 2,965.59, 4,448.25 and 2,144.25

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Solution

The fourth proportional to 2,965.59, 4,448.25 and 2,144.25 is: 3,216.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.59 : 4,448.25 = 2,144.25 : x
  2. Step 2: Convert to fraction form
    2,965.59/4,448.25 = 2,144.25/x
  3. Step 3: Cross multiply
    2,965.59x = 4,448.25 × 2,144.25
  4. Step 4: Simplify right side
    2,965.59x = 9,538,160.06
  5. Step 5: Solve for x
    x = 9,538,160.06/2,965.59
  6. Step 6: Final answer
    x = 3,216.28

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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.