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Finding the Fourth Proportional to 2,893.59, 3,993.14 and 1,634.63

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Solution

The fourth proportional to 2,893.59, 3,993.14 and 1,634.63 is: 2,255.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.59 : 3,993.14 = 1,634.63 : x
  2. Step 2: Convert to fraction form
    2,893.59/3,993.14 = 1,634.63/x
  3. Step 3: Cross multiply
    2,893.59x = 3,993.14 × 1,634.63
  4. Step 4: Simplify right side
    2,893.59x = 6,527,278.30
  5. Step 5: Solve for x
    x = 6,527,278.30/2,893.59
  6. Step 6: Final answer
    x = 2,255.77

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1.5x scale

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.