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Finding the Fourth Proportional to 2,057.40, 3,084.26 and 740.84

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Solution

The fourth proportional to 2,057.40, 3,084.26 and 740.84 is: 1,110.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.40 : 3,084.26 = 740.84 : x
  2. Step 2: Convert to fraction form
    2,057.40/3,084.26 = 740.84/x
  3. Step 3: Cross multiply
    2,057.40x = 3,084.26 × 740.84
  4. Step 4: Simplify right side
    2,057.40x = 2,284,924.05
  5. Step 5: Solve for x
    x = 2,284,924.05/2,057.40
  6. Step 6: Final answer
    x = 1,110.59

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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.