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Finding the Fourth Proportional to 2,057.34, 3,085.22 and 740.71

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Solution

The fourth proportional to 2,057.34, 3,085.22 and 740.71 is: 1,110.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.34 : 3,085.22 = 740.71 : x
  2. Step 2: Convert to fraction form
    2,057.34/3,085.22 = 740.71/x
  3. Step 3: Cross multiply
    2,057.34x = 3,085.22 × 740.71
  4. Step 4: Simplify right side
    2,057.34x = 2,285,249.60
  5. Step 5: Solve for x
    x = 2,285,249.60/2,057.34
  6. Step 6: Final answer
    x = 1,110.78

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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.