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Finding the Fourth Proportional to 2,684.10, 3,702.51 and 1,896.78

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Solution

The fourth proportional to 2,684.10, 3,702.51 and 1,896.78 is: 2,616.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.10 : 3,702.51 = 1,896.78 : x
  2. Step 2: Convert to fraction form
    2,684.10/3,702.51 = 1,896.78/x
  3. Step 3: Cross multiply
    2,684.10x = 3,702.51 × 1,896.78
  4. Step 4: Simplify right side
    2,684.10x = 7,022,846.92
  5. Step 5: Solve for x
    x = 7,022,846.92/2,684.10
  6. Step 6: Final answer
    x = 2,616.46

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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.