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Finding the Fourth Proportional to 2,919.96, 4,375.89 and 1,530.54

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Solution

The fourth proportional to 2,919.96, 4,375.89 and 1,530.54 is: 2,293.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.96 : 4,375.89 = 1,530.54 : x
  2. Step 2: Convert to fraction form
    2,919.96/4,375.89 = 1,530.54/x
  3. Step 3: Cross multiply
    2,919.96x = 4,375.89 × 1,530.54
  4. Step 4: Simplify right side
    2,919.96x = 6,697,474.68
  5. Step 5: Solve for x
    x = 6,697,474.68/2,919.96
  6. Step 6: Final answer
    x = 2,293.69

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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.