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Finding the Fourth Proportional to 3,196.98, 4,796.13 and 1,005.66

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Solution

The fourth proportional to 3,196.98, 4,796.13 and 1,005.66 is: 1,508.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.98 : 4,796.13 = 1,005.66 : x
  2. Step 2: Convert to fraction form
    3,196.98/4,796.13 = 1,005.66/x
  3. Step 3: Cross multiply
    3,196.98x = 4,796.13 × 1,005.66
  4. Step 4: Simplify right side
    3,196.98x = 4,823,276.10
  5. Step 5: Solve for x
    x = 4,823,276.10/3,196.98
  6. Step 6: Final answer
    x = 1,508.70

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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.