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Finding the Fourth Proportional to 2,374.88, 3,277.23 and 1,380.15

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Solution

The fourth proportional to 2,374.88, 3,277.23 and 1,380.15 is: 1,904.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.88 : 3,277.23 = 1,380.15 : x
  2. Step 2: Convert to fraction form
    2,374.88/3,277.23 = 1,380.15/x
  3. Step 3: Cross multiply
    2,374.88x = 3,277.23 × 1,380.15
  4. Step 4: Simplify right side
    2,374.88x = 4,523,052.60
  5. Step 5: Solve for x
    x = 4,523,052.60/2,374.88
  6. Step 6: Final answer
    x = 1,904.54

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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.