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Finding the Fourth Proportional to 3,152.88, 4,727.82 and 961.02

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Solution

The fourth proportional to 3,152.88, 4,727.82 and 961.02 is: 1,441.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.88 : 4,727.82 = 961.02 : x
  2. Step 2: Convert to fraction form
    3,152.88/4,727.82 = 961.02/x
  3. Step 3: Cross multiply
    3,152.88x = 4,727.82 × 961.02
  4. Step 4: Simplify right side
    3,152.88x = 4,543,529.58
  5. Step 5: Solve for x
    x = 4,543,529.58/3,152.88
  6. Step 6: Final answer
    x = 1,441.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.