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Finding the Fourth Proportional to 1,649.11, 2,474.91 and 610.09

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Solution

The fourth proportional to 1,649.11, 2,474.91 and 610.09 is: 915.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.11 : 2,474.91 = 610.09 : x
  2. Step 2: Convert to fraction form
    1,649.11/2,474.91 = 610.09/x
  3. Step 3: Cross multiply
    1,649.11x = 2,474.91 × 610.09
  4. Step 4: Simplify right side
    1,649.11x = 1,509,917.84
  5. Step 5: Solve for x
    x = 1,509,917.84/1,649.11
  6. Step 6: Final answer
    x = 915.60

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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.