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Finding the Fourth Proportional to 2,897.34, 3,992.81 and 2,844.02

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Solution

The fourth proportional to 2,897.34, 3,992.81 and 2,844.02 is: 3,919.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.34 : 3,992.81 = 2,844.02 : x
  2. Step 2: Convert to fraction form
    2,897.34/3,992.81 = 2,844.02/x
  3. Step 3: Cross multiply
    2,897.34x = 3,992.81 × 2,844.02
  4. Step 4: Simplify right side
    2,897.34x = 11,355,627.26
  5. Step 5: Solve for x
    x = 11,355,627.26/2,897.34
  6. Step 6: Final answer
    x = 3,919.33

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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.