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Finding the Fourth Proportional to 2,566.68, 3,540.42 and 1,518

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Solution

The fourth proportional to 2,566.68, 3,540.42 and 1,518 is: 2,093.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.68 : 3,540.42 = 1,518 : x
  2. Step 2: Convert to fraction form
    2,566.68/3,540.42 = 1,518/x
  3. Step 3: Cross multiply
    2,566.68x = 3,540.42 × 1,518
  4. Step 4: Simplify right side
    2,566.68x = 5,374,357.56
  5. Step 5: Solve for x
    x = 5,374,357.56/2,566.68
  6. Step 6: Final answer
    x = 2,093.89

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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.