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Finding the Fourth Proportional to 2,881.36, 3,971.16 and 2,323.60

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Solution

The fourth proportional to 2,881.36, 3,971.16 and 2,323.60 is: 3,202.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.36 : 3,971.16 = 2,323.60 : x
  2. Step 2: Convert to fraction form
    2,881.36/3,971.16 = 2,323.60/x
  3. Step 3: Cross multiply
    2,881.36x = 3,971.16 × 2,323.60
  4. Step 4: Simplify right side
    2,881.36x = 9,227,387.38
  5. Step 5: Solve for x
    x = 9,227,387.38/2,881.36
  6. Step 6: Final answer
    x = 3,202.44

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Why These Related Problems?

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