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Finding the Fourth Proportional to 2,367.58, 3,265.95 and 2,200.78

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Solution

The fourth proportional to 2,367.58, 3,265.95 and 2,200.78 is: 3,035.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.58 : 3,265.95 = 2,200.78 : x
  2. Step 2: Convert to fraction form
    2,367.58/3,265.95 = 2,200.78/x
  3. Step 3: Cross multiply
    2,367.58x = 3,265.95 × 2,200.78
  4. Step 4: Simplify right side
    2,367.58x = 7,187,637.44
  5. Step 5: Solve for x
    x = 7,187,637.44/2,367.58
  6. Step 6: Final answer
    x = 3,035.86

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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.