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Finding the Fourth Proportional to 3,442.62, 4,750.41 and 2,026.74

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Solution

The fourth proportional to 3,442.62, 4,750.41 and 2,026.74 is: 2,796.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.62 : 4,750.41 = 2,026.74 : x
  2. Step 2: Convert to fraction form
    3,442.62/4,750.41 = 2,026.74/x
  3. Step 3: Cross multiply
    3,442.62x = 4,750.41 × 2,026.74
  4. Step 4: Simplify right side
    3,442.62x = 9,627,845.96
  5. Step 5: Solve for x
    x = 9,627,845.96/3,442.62
  6. Step 6: Final answer
    x = 2,796.66

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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.