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Finding the Fourth Proportional to 7,243.10, 10,863.79 and 1,978.50

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Solution

The fourth proportional to 7,243.10, 10,863.79 and 1,978.50 is: 2,967.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.10 : 10,863.79 = 1,978.50 : x
  2. Step 2: Convert to fraction form
    7,243.10/10,863.79 = 1,978.50/x
  3. Step 3: Cross multiply
    7,243.10x = 10,863.79 × 1,978.50
  4. Step 4: Simplify right side
    7,243.10x = 21,494,044.31
  5. Step 5: Solve for x
    x = 21,494,044.31/7,243.10
  6. Step 6: Final answer
    x = 2,967.52

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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.