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Finding the Fourth Proportional to 1,826.73, 2,518.02 and 1,605.30

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Solution

The fourth proportional to 1,826.73, 2,518.02 and 1,605.30 is: 2,212.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.73 : 2,518.02 = 1,605.30 : x
  2. Step 2: Convert to fraction form
    1,826.73/2,518.02 = 1,605.30/x
  3. Step 3: Cross multiply
    1,826.73x = 2,518.02 × 1,605.30
  4. Step 4: Simplify right side
    1,826.73x = 4,042,177.51
  5. Step 5: Solve for x
    x = 4,042,177.51/1,826.73
  6. Step 6: Final answer
    x = 2,212.79

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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.