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Finding the Fourth Proportional to 2,937.72, 4,406.09 and 963.32

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Solution

The fourth proportional to 2,937.72, 4,406.09 and 963.32 is: 1,444.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.72 : 4,406.09 = 963.32 : x
  2. Step 2: Convert to fraction form
    2,937.72/4,406.09 = 963.32/x
  3. Step 3: Cross multiply
    2,937.72x = 4,406.09 × 963.32
  4. Step 4: Simplify right side
    2,937.72x = 4,244,447.77
  5. Step 5: Solve for x
    x = 4,244,447.77/2,937.72
  6. Step 6: Final answer
    x = 1,444.81

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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.