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Finding the Fourth Proportional to 2,074.86, 2,863.32 and 1,143.36

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Solution

The fourth proportional to 2,074.86, 2,863.32 and 1,143.36 is: 1,577.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.86 : 2,863.32 = 1,143.36 : x
  2. Step 2: Convert to fraction form
    2,074.86/2,863.32 = 1,143.36/x
  3. Step 3: Cross multiply
    2,074.86x = 2,863.32 × 1,143.36
  4. Step 4: Simplify right side
    2,074.86x = 3,273,805.56
  5. Step 5: Solve for x
    x = 3,273,805.56/2,074.86
  6. Step 6: Final answer
    x = 1,577.84

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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.