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Finding the Fourth Proportional to 2,649.83, 3,974.73 and 702.03

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Solution

The fourth proportional to 2,649.83, 3,974.73 and 702.03 is: 1,053.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.83 : 3,974.73 = 702.03 : x
  2. Step 2: Convert to fraction form
    2,649.83/3,974.73 = 702.03/x
  3. Step 3: Cross multiply
    2,649.83x = 3,974.73 × 702.03
  4. Step 4: Simplify right side
    2,649.83x = 2,790,379.70
  5. Step 5: Solve for x
    x = 2,790,379.70/2,649.83
  6. Step 6: Final answer
    x = 1,053.04

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