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Finding the Fourth Proportional to 3,442.75, 4,749.98 and 1,950.64

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Solution

The fourth proportional to 3,442.75, 4,749.98 and 1,950.64 is: 2,691.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.75 : 4,749.98 = 1,950.64 : x
  2. Step 2: Convert to fraction form
    3,442.75/4,749.98 = 1,950.64/x
  3. Step 3: Cross multiply
    3,442.75x = 4,749.98 × 1,950.64
  4. Step 4: Simplify right side
    3,442.75x = 9,265,490.33
  5. Step 5: Solve for x
    x = 9,265,490.33/3,442.75
  6. Step 6: Final answer
    x = 2,691.30

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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.