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Finding the Fourth Proportional to 2,768.69, 4,148.42 and 1,987.52

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Solution

The fourth proportional to 2,768.69, 4,148.42 and 1,987.52 is: 2,977.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.69 : 4,148.42 = 1,987.52 : x
  2. Step 2: Convert to fraction form
    2,768.69/4,148.42 = 1,987.52/x
  3. Step 3: Cross multiply
    2,768.69x = 4,148.42 × 1,987.52
  4. Step 4: Simplify right side
    2,768.69x = 8,245,071.55
  5. Step 5: Solve for x
    x = 8,245,071.55/2,768.69
  6. Step 6: Final answer
    x = 2,977.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.