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Finding the Fourth Proportional to 2,200.47, 3,297.47 and 1,969.35

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Solution

The fourth proportional to 2,200.47, 3,297.47 and 1,969.35 is: 2,951.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.47 : 3,297.47 = 1,969.35 : x
  2. Step 2: Convert to fraction form
    2,200.47/3,297.47 = 1,969.35/x
  3. Step 3: Cross multiply
    2,200.47x = 3,297.47 × 1,969.35
  4. Step 4: Simplify right side
    2,200.47x = 6,493,862.70
  5. Step 5: Solve for x
    x = 6,493,862.70/2,200.47
  6. Step 6: Final answer
    x = 2,951.13

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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.