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Finding the Fourth Proportional to 3,152.10, 4,728.84 and 961

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Solution

The fourth proportional to 3,152.10, 4,728.84 and 961 is: 1,441.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.10 : 4,728.84 = 961 : x
  2. Step 2: Convert to fraction form
    3,152.10/4,728.84 = 961/x
  3. Step 3: Cross multiply
    3,152.10x = 4,728.84 × 961
  4. Step 4: Simplify right side
    3,152.10x = 4,544,415.24
  5. Step 5: Solve for x
    x = 4,544,415.24/3,152.10
  6. Step 6: Final answer
    x = 1,441.71

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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.