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Finding the Fourth Proportional to 1,944.26, 2,680.05 and 1,798.34

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Solution

The fourth proportional to 1,944.26, 2,680.05 and 1,798.34 is: 2,478.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.26 : 2,680.05 = 1,798.34 : x
  2. Step 2: Convert to fraction form
    1,944.26/2,680.05 = 1,798.34/x
  3. Step 3: Cross multiply
    1,944.26x = 2,680.05 × 1,798.34
  4. Step 4: Simplify right side
    1,944.26x = 4,819,641.12
  5. Step 5: Solve for x
    x = 4,819,641.12/1,944.26
  6. Step 6: Final answer
    x = 2,478.91

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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.