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Finding the Fourth Proportional to 2,098.36, 3,148.01 and 617.62

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Solution

The fourth proportional to 2,098.36, 3,148.01 and 617.62 is: 926.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.36 : 3,148.01 = 617.62 : x
  2. Step 2: Convert to fraction form
    2,098.36/3,148.01 = 617.62/x
  3. Step 3: Cross multiply
    2,098.36x = 3,148.01 × 617.62
  4. Step 4: Simplify right side
    2,098.36x = 1,944,273.94
  5. Step 5: Solve for x
    x = 1,944,273.94/2,098.36
  6. Step 6: Final answer
    x = 926.57

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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.