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Finding the Fourth Proportional to 2,642.58, 3,942.59 and 2,518.74

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Solution

The fourth proportional to 2,642.58, 3,942.59 and 2,518.74 is: 3,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.58 : 3,942.59 = 2,518.74 : x
  2. Step 2: Convert to fraction form
    2,642.58/3,942.59 = 2,518.74/x
  3. Step 3: Cross multiply
    2,642.58x = 3,942.59 × 2,518.74
  4. Step 4: Simplify right side
    2,642.58x = 9,930,346.54
  5. Step 5: Solve for x
    x = 9,930,346.54/2,642.58
  6. Step 6: Final answer
    x = 3,757.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.