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Finding the Fourth Proportional to 3,151.60, 4,727.32 and 811.56

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Solution

The fourth proportional to 3,151.60, 4,727.32 and 811.56 is: 1,217.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.60 : 4,727.32 = 811.56 : x
  2. Step 2: Convert to fraction form
    3,151.60/4,727.32 = 811.56/x
  3. Step 3: Cross multiply
    3,151.60x = 4,727.32 × 811.56
  4. Step 4: Simplify right side
    3,151.60x = 3,836,503.82
  5. Step 5: Solve for x
    x = 3,836,503.82/3,151.60
  6. Step 6: Final answer
    x = 1,217.32

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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.