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Finding the Fourth Proportional to 2,138.45, 2,944.19 and 1,862.33

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Solution

The fourth proportional to 2,138.45, 2,944.19 and 1,862.33 is: 2,564.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.45 : 2,944.19 = 1,862.33 : x
  2. Step 2: Convert to fraction form
    2,138.45/2,944.19 = 1,862.33/x
  3. Step 3: Cross multiply
    2,138.45x = 2,944.19 × 1,862.33
  4. Step 4: Simplify right side
    2,138.45x = 5,483,043.30
  5. Step 5: Solve for x
    x = 5,483,043.30/2,138.45
  6. Step 6: Final answer
    x = 2,564.03

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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.