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Finding the Fourth Proportional to 3,224.61, 4,448.99 and 1,897.83

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Solution

The fourth proportional to 3,224.61, 4,448.99 and 1,897.83 is: 2,618.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.61 : 4,448.99 = 1,897.83 : x
  2. Step 2: Convert to fraction form
    3,224.61/4,448.99 = 1,897.83/x
  3. Step 3: Cross multiply
    3,224.61x = 4,448.99 × 1,897.83
  4. Step 4: Simplify right side
    3,224.61x = 8,443,431.44
  5. Step 5: Solve for x
    x = 8,443,431.44/3,224.61
  6. Step 6: Final answer
    x = 2,618.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.