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Finding the Fourth Proportional to 1,809.97, 2,711.44 and 1,027.60

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Solution

The fourth proportional to 1,809.97, 2,711.44 and 1,027.60 is: 1,539.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.97 : 2,711.44 = 1,027.60 : x
  2. Step 2: Convert to fraction form
    1,809.97/2,711.44 = 1,027.60/x
  3. Step 3: Cross multiply
    1,809.97x = 2,711.44 × 1,027.60
  4. Step 4: Simplify right side
    1,809.97x = 2,786,275.74
  5. Step 5: Solve for x
    x = 2,786,275.74/1,809.97
  6. Step 6: Final answer
    x = 1,539.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.