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Finding the Fourth Proportional to 1,519.96, 2,097.84 and 960.64

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Solution

The fourth proportional to 1,519.96, 2,097.84 and 960.64 is: 1,325.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.96 : 2,097.84 = 960.64 : x
  2. Step 2: Convert to fraction form
    1,519.96/2,097.84 = 960.64/x
  3. Step 3: Cross multiply
    1,519.96x = 2,097.84 × 960.64
  4. Step 4: Simplify right side
    1,519.96x = 2,015,269.02
  5. Step 5: Solve for x
    x = 2,015,269.02/1,519.96
  6. Step 6: Final answer
    x = 1,325.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.