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Finding the Fourth Proportional to 2,374.83, 3,277.16 and 1,380.15

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Solution

The fourth proportional to 2,374.83, 3,277.16 and 1,380.15 is: 1,904.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.83 : 3,277.16 = 1,380.15 : x
  2. Step 2: Convert to fraction form
    2,374.83/3,277.16 = 1,380.15/x
  3. Step 3: Cross multiply
    2,374.83x = 3,277.16 × 1,380.15
  4. Step 4: Simplify right side
    2,374.83x = 4,522,965.47
  5. Step 5: Solve for x
    x = 4,522,965.47/2,374.83
  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.