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Finding the Fourth Proportional to 2,057.07, 3,085.56 and 596.16

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Solution

The fourth proportional to 2,057.07, 3,085.56 and 596.16 is: 894.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.07 : 3,085.56 = 596.16 : x
  2. Step 2: Convert to fraction form
    2,057.07/3,085.56 = 596.16/x
  3. Step 3: Cross multiply
    2,057.07x = 3,085.56 × 596.16
  4. Step 4: Simplify right side
    2,057.07x = 1,839,487.45
  5. Step 5: Solve for x
    x = 1,839,487.45/2,057.07
  6. Step 6: Final answer
    x = 894.23

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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.