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Finding the Fourth Proportional to 3,242.74, 4,475.07 and 1,826.48

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Solution

The fourth proportional to 3,242.74, 4,475.07 and 1,826.48 is: 2,520.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.74 : 4,475.07 = 1,826.48 : x
  2. Step 2: Convert to fraction form
    3,242.74/4,475.07 = 1,826.48/x
  3. Step 3: Cross multiply
    3,242.74x = 4,475.07 × 1,826.48
  4. Step 4: Simplify right side
    3,242.74x = 8,173,625.85
  5. Step 5: Solve for x
    x = 8,173,625.85/3,242.74
  6. Step 6: Final answer
    x = 2,520.59

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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.