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Finding the Fourth Proportional to 1,826.57, 2,520.66 and 998.57

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Solution

The fourth proportional to 1,826.57, 2,520.66 and 998.57 is: 1,378.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.57 : 2,520.66 = 998.57 : x
  2. Step 2: Convert to fraction form
    1,826.57/2,520.66 = 998.57/x
  3. Step 3: Cross multiply
    1,826.57x = 2,520.66 × 998.57
  4. Step 4: Simplify right side
    1,826.57x = 2,517,042.85
  5. Step 5: Solve for x
    x = 2,517,042.85/1,826.57
  6. Step 6: Final answer
    x = 1,378.02

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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.