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Finding the Fourth Proportional to 2,057.08, 3,085.67 and 596.29

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Solution

The fourth proportional to 2,057.08, 3,085.67 and 596.29 is: 894.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.08 : 3,085.67 = 596.29 : x
  2. Step 2: Convert to fraction form
    2,057.08/3,085.67 = 596.29/x
  3. Step 3: Cross multiply
    2,057.08x = 3,085.67 × 596.29
  4. Step 4: Simplify right side
    2,057.08x = 1,839,947.94
  5. Step 5: Solve for x
    x = 1,839,947.94/2,057.08
  6. Step 6: Final answer
    x = 894.45

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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.