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Finding the Fourth Proportional to 2,378.93, 3,280.13 and 1,906.45

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Solution

The fourth proportional to 2,378.93, 3,280.13 and 1,906.45 is: 2,628.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.93 : 3,280.13 = 1,906.45 : x
  2. Step 2: Convert to fraction form
    2,378.93/3,280.13 = 1,906.45/x
  3. Step 3: Cross multiply
    2,378.93x = 3,280.13 × 1,906.45
  4. Step 4: Simplify right side
    2,378.93x = 6,253,399.88
  5. Step 5: Solve for x
    x = 6,253,399.88/2,378.93
  6. Step 6: Final answer
    x = 2,628.66

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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.