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Finding the Fourth Proportional to 3,026.44, 4,535.43 and 1,640.53

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Solution

The fourth proportional to 3,026.44, 4,535.43 and 1,640.53 is: 2,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.44 : 4,535.43 = 1,640.53 : x
  2. Step 2: Convert to fraction form
    3,026.44/4,535.43 = 1,640.53/x
  3. Step 3: Cross multiply
    3,026.44x = 4,535.43 × 1,640.53
  4. Step 4: Simplify right side
    3,026.44x = 7,440,508.98
  5. Step 5: Solve for x
    x = 7,440,508.98/3,026.44
  6. Step 6: Final answer
    x = 2,458.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.