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Finding the Fourth Proportional to 6,901.88, 10,351.36 and 1,970.20

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Solution

The fourth proportional to 6,901.88, 10,351.36 and 1,970.20 is: 2,954.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.88 : 10,351.36 = 1,970.20 : x
  2. Step 2: Convert to fraction form
    6,901.88/10,351.36 = 1,970.20/x
  3. Step 3: Cross multiply
    6,901.88x = 10,351.36 × 1,970.20
  4. Step 4: Simplify right side
    6,901.88x = 20,394,249.47
  5. Step 5: Solve for x
    x = 20,394,249.47/6,901.88
  6. Step 6: Final answer
    x = 2,954.88

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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.