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Finding the Fourth Proportional to 2,897.33, 3,998.17 and 1,836.23

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Solution

The fourth proportional to 2,897.33, 3,998.17 and 1,836.23 is: 2,533.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.33 : 3,998.17 = 1,836.23 : x
  2. Step 2: Convert to fraction form
    2,897.33/3,998.17 = 1,836.23/x
  3. Step 3: Cross multiply
    2,897.33x = 3,998.17 × 1,836.23
  4. Step 4: Simplify right side
    2,897.33x = 7,341,559.70
  5. Step 5: Solve for x
    x = 7,341,559.70/2,897.33
  6. Step 6: Final answer
    x = 2,533.91

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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.