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Finding the Fourth Proportional to 2,442.66, 3,370.62 and 1,380.33

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Solution

The fourth proportional to 2,442.66, 3,370.62 and 1,380.33 is: 1,904.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.66 : 3,370.62 = 1,380.33 : x
  2. Step 2: Convert to fraction form
    2,442.66/3,370.62 = 1,380.33/x
  3. Step 3: Cross multiply
    2,442.66x = 3,370.62 × 1,380.33
  4. Step 4: Simplify right side
    2,442.66x = 4,652,567.90
  5. Step 5: Solve for x
    x = 4,652,567.90/2,442.66
  6. Step 6: Final answer
    x = 1,904.71

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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.