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Finding the Fourth Proportional to 2,375.25, 3,277.47 and 1,380.35

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Solution

The fourth proportional to 2,375.25, 3,277.47 and 1,380.35 is: 1,904.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.25 : 3,277.47 = 1,380.35 : x
  2. Step 2: Convert to fraction form
    2,375.25/3,277.47 = 1,380.35/x
  3. Step 3: Cross multiply
    2,375.25x = 3,277.47 × 1,380.35
  4. Step 4: Simplify right side
    2,375.25x = 4,524,055.98
  5. Step 5: Solve for x
    x = 4,524,055.98/2,375.25
  6. Step 6: Final answer
    x = 1,904.67

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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.