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Finding the Fourth Proportional to 2,909.44, 4,364.97 and 963.01

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Solution

The fourth proportional to 2,909.44, 4,364.97 and 963.01 is: 1,444.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.44 : 4,364.97 = 963.01 : x
  2. Step 2: Convert to fraction form
    2,909.44/4,364.97 = 963.01/x
  3. Step 3: Cross multiply
    2,909.44x = 4,364.97 × 963.01
  4. Step 4: Simplify right side
    2,909.44x = 4,203,509.76
  5. Step 5: Solve for x
    x = 4,203,509.76/2,909.44
  6. Step 6: Final answer
    x = 1,444.78

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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.