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Finding the Fourth Proportional to 2,649.80, 3,974.70 and 2,285.30

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Solution

The fourth proportional to 2,649.80, 3,974.70 and 2,285.30 is: 3,427.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.80 : 3,974.70 = 2,285.30 : x
  2. Step 2: Convert to fraction form
    2,649.80/3,974.70 = 2,285.30/x
  3. Step 3: Cross multiply
    2,649.80x = 3,974.70 × 2,285.30
  4. Step 4: Simplify right side
    2,649.80x = 9,083,381.91
  5. Step 5: Solve for x
    x = 9,083,381.91/2,649.80
  6. Step 6: Final answer
    x = 3,427.95

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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.