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Finding the Fourth Proportional to 2,223.81, 3,335.83 and 1,897.02

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Solution

The fourth proportional to 2,223.81, 3,335.83 and 1,897.02 is: 2,845.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.81 : 3,335.83 = 1,897.02 : x
  2. Step 2: Convert to fraction form
    2,223.81/3,335.83 = 1,897.02/x
  3. Step 3: Cross multiply
    2,223.81x = 3,335.83 × 1,897.02
  4. Step 4: Simplify right side
    2,223.81x = 6,328,136.23
  5. Step 5: Solve for x
    x = 6,328,136.23/2,223.81
  6. Step 6: Final answer
    x = 2,845.63

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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.