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Finding the Fourth Proportional to 2,600.58, 3,891.15 and 1,505.46

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Solution

The fourth proportional to 2,600.58, 3,891.15 and 1,505.46 is: 2,252.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.58 : 3,891.15 = 1,505.46 : x
  2. Step 2: Convert to fraction form
    2,600.58/3,891.15 = 1,505.46/x
  3. Step 3: Cross multiply
    2,600.58x = 3,891.15 × 1,505.46
  4. Step 4: Simplify right side
    2,600.58x = 5,857,970.68
  5. Step 5: Solve for x
    x = 5,857,970.68/2,600.58
  6. Step 6: Final answer
    x = 2,252.56

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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.