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Finding the Fourth Proportional to 3,442.46, 4,750.64 and 1,950.34

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Solution

The fourth proportional to 3,442.46, 4,750.64 and 1,950.34 is: 2,691.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.46 : 4,750.64 = 1,950.34 : x
  2. Step 2: Convert to fraction form
    3,442.46/4,750.64 = 1,950.34/x
  3. Step 3: Cross multiply
    3,442.46x = 4,750.64 × 1,950.34
  4. Step 4: Simplify right side
    3,442.46x = 9,265,363.22
  5. Step 5: Solve for x
    x = 9,265,363.22/3,442.46
  6. Step 6: Final answer
    x = 2,691.49

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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.