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Finding the Fourth Proportional to 2,057.21, 3,085.05 and 740.60

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Solution

The fourth proportional to 2,057.21, 3,085.05 and 740.60 is: 1,110.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.21 : 3,085.05 = 740.60 : x
  2. Step 2: Convert to fraction form
    2,057.21/3,085.05 = 740.60/x
  3. Step 3: Cross multiply
    2,057.21x = 3,085.05 × 740.60
  4. Step 4: Simplify right side
    2,057.21x = 2,284,800.14
  5. Step 5: Solve for x
    x = 2,284,800.14/2,057.21
  6. Step 6: Final answer
    x = 1,110.63

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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.