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Finding the Fourth Proportional to 2,374.97, 3,277.19 and 1,380.09

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Solution

The fourth proportional to 2,374.97, 3,277.19 and 1,380.09 is: 1,904.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.97 : 3,277.19 = 1,380.09 : x
  2. Step 2: Convert to fraction form
    2,374.97/3,277.19 = 1,380.09/x
  3. Step 3: Cross multiply
    2,374.97x = 3,277.19 × 1,380.09
  4. Step 4: Simplify right side
    2,374.97x = 4,522,810.25
  5. Step 5: Solve for x
    x = 4,522,810.25/2,374.97
  6. Step 6: Final answer
    x = 1,904.37

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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.