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Finding the Fourth Proportional to 1,423.82, 2,134.66 and 960.30

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Solution

The fourth proportional to 1,423.82, 2,134.66 and 960.30 is: 1,439.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.82 : 2,134.66 = 960.30 : x
  2. Step 2: Convert to fraction form
    1,423.82/2,134.66 = 960.30/x
  3. Step 3: Cross multiply
    1,423.82x = 2,134.66 × 960.30
  4. Step 4: Simplify right side
    1,423.82x = 2,049,903.32
  5. Step 5: Solve for x
    x = 2,049,903.32/1,423.82
  6. Step 6: Final answer
    x = 1,439.73

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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.