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Finding the Fourth Proportional to 2,649.88, 3,974.80 and 702.07

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Solution

The fourth proportional to 2,649.88, 3,974.80 and 702.07 is: 1,053.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.88 : 3,974.80 = 702.07 : x
  2. Step 2: Convert to fraction form
    2,649.88/3,974.80 = 702.07/x
  3. Step 3: Cross multiply
    2,649.88x = 3,974.80 × 702.07
  4. Step 4: Simplify right side
    2,649.88x = 2,790,587.84
  5. Step 5: Solve for x
    x = 2,790,587.84/2,649.88
  6. Step 6: Final answer
    x = 1,053.10

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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.