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Finding the Fourth Proportional to 3,193.47, 4,405.64 and 1,950.75

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Solution

The fourth proportional to 3,193.47, 4,405.64 and 1,950.75 is: 2,691.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.47 : 4,405.64 = 1,950.75 : x
  2. Step 2: Convert to fraction form
    3,193.47/4,405.64 = 1,950.75/x
  3. Step 3: Cross multiply
    3,193.47x = 4,405.64 × 1,950.75
  4. Step 4: Simplify right side
    3,193.47x = 8,594,292.48
  5. Step 5: Solve for x
    x = 8,594,292.48/3,193.47
  6. Step 6: Final answer
    x = 2,691.21

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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.