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Finding the Fourth Proportional to 2,276.86, 3,416.61 and 960.53

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Solution

The fourth proportional to 2,276.86, 3,416.61 and 960.53 is: 1,441.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.86 : 3,416.61 = 960.53 : x
  2. Step 2: Convert to fraction form
    2,276.86/3,416.61 = 960.53/x
  3. Step 3: Cross multiply
    2,276.86x = 3,416.61 × 960.53
  4. Step 4: Simplify right side
    2,276.86x = 3,281,736.92
  5. Step 5: Solve for x
    x = 3,281,736.92/2,276.86
  6. Step 6: Final answer
    x = 1,441.35

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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.