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Finding the Fourth Proportional to 2,625, 3,616.34 and 1,826.95

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Solution

The fourth proportional to 2,625, 3,616.34 and 1,826.95 is: 2,516.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625 : 3,616.34 = 1,826.95 : x
  2. Step 2: Convert to fraction form
    2,625/3,616.34 = 1,826.95/x
  3. Step 3: Cross multiply
    2,625x = 3,616.34 × 1,826.95
  4. Step 4: Simplify right side
    2,625x = 6,606,863.23
  5. Step 5: Solve for x
    x = 6,606,863.23/2,625
  6. Step 6: Final answer
    x = 2,516.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.