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Finding the Fourth Proportional to 2,098.94, 3,149.10 and 1,003.39

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Solution

The fourth proportional to 2,098.94, 3,149.10 and 1,003.39 is: 1,505.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.94 : 3,149.10 = 1,003.39 : x
  2. Step 2: Convert to fraction form
    2,098.94/3,149.10 = 1,003.39/x
  3. Step 3: Cross multiply
    2,098.94x = 3,149.10 × 1,003.39
  4. Step 4: Simplify right side
    2,098.94x = 3,159,775.62
  5. Step 5: Solve for x
    x = 3,159,775.62/2,098.94
  6. Step 6: Final answer
    x = 1,505.41

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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.