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Finding the Fourth Proportional to 3,442.41, 4,750.74 and 1,950.48

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Solution

The fourth proportional to 3,442.41, 4,750.74 and 1,950.48 is: 2,691.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.41 : 4,750.74 = 1,950.48 : x
  2. Step 2: Convert to fraction form
    3,442.41/4,750.74 = 1,950.48/x
  3. Step 3: Cross multiply
    3,442.41x = 4,750.74 × 1,950.48
  4. Step 4: Simplify right side
    3,442.41x = 9,266,223.36
  5. Step 5: Solve for x
    x = 9,266,223.36/3,442.41
  6. Step 6: Final answer
    x = 2,691.78

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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.