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Finding the Fourth Proportional to 2,027.44, 3,039.09 and 710.80

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Solution

The fourth proportional to 2,027.44, 3,039.09 and 710.80 is: 1,065.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.44 : 3,039.09 = 710.80 : x
  2. Step 2: Convert to fraction form
    2,027.44/3,039.09 = 710.80/x
  3. Step 3: Cross multiply
    2,027.44x = 3,039.09 × 710.80
  4. Step 4: Simplify right side
    2,027.44x = 2,160,185.17
  5. Step 5: Solve for x
    x = 2,160,185.17/2,027.44
  6. Step 6: Final answer
    x = 1,065.47

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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.