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Finding the Fourth Proportional to 2,490.81, 3,736.20 and 1,028.34

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Solution

The fourth proportional to 2,490.81, 3,736.20 and 1,028.34 is: 1,542.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.81 : 3,736.20 = 1,028.34 : x
  2. Step 2: Convert to fraction form
    2,490.81/3,736.20 = 1,028.34/x
  3. Step 3: Cross multiply
    2,490.81x = 3,736.20 × 1,028.34
  4. Step 4: Simplify right side
    2,490.81x = 3,842,083.91
  5. Step 5: Solve for x
    x = 3,842,083.91/2,490.81
  6. Step 6: Final answer
    x = 1,542.50

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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.