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Finding the Fourth Proportional to 3,389.33, 4,677.16 and 1,897.31

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Solution

The fourth proportional to 3,389.33, 4,677.16 and 1,897.31 is: 2,618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.33 : 4,677.16 = 1,897.31 : x
  2. Step 2: Convert to fraction form
    3,389.33/4,677.16 = 1,897.31/x
  3. Step 3: Cross multiply
    3,389.33x = 4,677.16 × 1,897.31
  4. Step 4: Simplify right side
    3,389.33x = 8,874,022.44
  5. Step 5: Solve for x
    x = 8,874,022.44/3,389.33
  6. Step 6: Final answer
    x = 2,618.22

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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.