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Finding the Fourth Proportional to 2,962.88, 4,441.88 and 1,727.24

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Solution

The fourth proportional to 2,962.88, 4,441.88 and 1,727.24 is: 2,589.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.88 : 4,441.88 = 1,727.24 : x
  2. Step 2: Convert to fraction form
    2,962.88/4,441.88 = 1,727.24/x
  3. Step 3: Cross multiply
    2,962.88x = 4,441.88 × 1,727.24
  4. Step 4: Simplify right side
    2,962.88x = 7,672,192.81
  5. Step 5: Solve for x
    x = 7,672,192.81/2,962.88
  6. Step 6: Final answer
    x = 2,589.44

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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.