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Finding the Fourth Proportional to 2,276.71, 3,416.14 and 960.76

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Solution

The fourth proportional to 2,276.71, 3,416.14 and 960.76 is: 1,441.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.71 : 3,416.14 = 960.76 : x
  2. Step 2: Convert to fraction form
    2,276.71/3,416.14 = 960.76/x
  3. Step 3: Cross multiply
    2,276.71x = 3,416.14 × 960.76
  4. Step 4: Simplify right side
    2,276.71x = 3,282,096.14
  5. Step 5: Solve for x
    x = 3,282,096.14/2,276.71
  6. Step 6: Final answer
    x = 1,441.60

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1.5x scale

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.