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Finding the Fourth Proportional to 1,826.37, 2,520.38 and 1,040.42

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Solution

The fourth proportional to 1,826.37, 2,520.38 and 1,040.42 is: 1,435.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.37 : 2,520.38 = 1,040.42 : x
  2. Step 2: Convert to fraction form
    1,826.37/2,520.38 = 1,040.42/x
  3. Step 3: Cross multiply
    1,826.37x = 2,520.38 × 1,040.42
  4. Step 4: Simplify right side
    1,826.37x = 2,622,262.66
  5. Step 5: Solve for x
    x = 2,622,262.66/1,826.37
  6. Step 6: Final answer
    x = 1,435.78

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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.