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Finding the Fourth Proportional to 2,649.82, 3,974.72 and 702.02

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Solution

The fourth proportional to 2,649.82, 3,974.72 and 702.02 is: 1,053.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.82 : 3,974.72 = 702.02 : x
  2. Step 2: Convert to fraction form
    2,649.82/3,974.72 = 702.02/x
  3. Step 3: Cross multiply
    2,649.82x = 3,974.72 × 702.02
  4. Step 4: Simplify right side
    2,649.82x = 2,790,332.93
  5. Step 5: Solve for x
    x = 2,790,332.93/2,649.82
  6. Step 6: Final answer
    x = 1,053.03

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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.