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Finding the Fourth Proportional to 2,614.64, 3,919.32 and 1,641.42

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Solution

The fourth proportional to 2,614.64, 3,919.32 and 1,641.42 is: 2,460.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.64 : 3,919.32 = 1,641.42 : x
  2. Step 2: Convert to fraction form
    2,614.64/3,919.32 = 1,641.42/x
  3. Step 3: Cross multiply
    2,614.64x = 3,919.32 × 1,641.42
  4. Step 4: Simplify right side
    2,614.64x = 6,433,250.23
  5. Step 5: Solve for x
    x = 6,433,250.23/2,614.64
  6. Step 6: Final answer
    x = 2,460.48

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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.