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Finding the Fourth Proportional to 2,073.97, 2,861.14 and 1,365.62

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Solution

The fourth proportional to 2,073.97, 2,861.14 and 1,365.62 is: 1,883.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.97 : 2,861.14 = 1,365.62 : x
  2. Step 2: Convert to fraction form
    2,073.97/2,861.14 = 1,365.62/x
  3. Step 3: Cross multiply
    2,073.97x = 2,861.14 × 1,365.62
  4. Step 4: Simplify right side
    2,073.97x = 3,907,223.18
  5. Step 5: Solve for x
    x = 3,907,223.18/2,073.97
  6. Step 6: Final answer
    x = 1,883.94

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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.