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Finding the Fourth Proportional to 2,375.16, 3,277.68 and 1,380.78

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Solution

The fourth proportional to 2,375.16, 3,277.68 and 1,380.78 is: 1,905.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.16 : 3,277.68 = 1,380.78 : x
  2. Step 2: Convert to fraction form
    2,375.16/3,277.68 = 1,380.78/x
  3. Step 3: Cross multiply
    2,375.16x = 3,277.68 × 1,380.78
  4. Step 4: Simplify right side
    2,375.16x = 4,525,754.99
  5. Step 5: Solve for x
    x = 4,525,754.99/2,375.16
  6. Step 6: Final answer
    x = 1,905.45

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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.