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Finding the Fourth Proportional to 2,982.69, 4,117.43 and 2,147.58

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Solution

The fourth proportional to 2,982.69, 4,117.43 and 2,147.58 is: 2,964.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.69 : 4,117.43 = 2,147.58 : x
  2. Step 2: Convert to fraction form
    2,982.69/4,117.43 = 2,147.58/x
  3. Step 3: Cross multiply
    2,982.69x = 4,117.43 × 2,147.58
  4. Step 4: Simplify right side
    2,982.69x = 8,842,515.69
  5. Step 5: Solve for x
    x = 8,842,515.69/2,982.69
  6. Step 6: Final answer
    x = 2,964.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.