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Finding the Fourth Proportional to 2,057.42, 3,085.88 and 596.57

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Solution

The fourth proportional to 2,057.42, 3,085.88 and 596.57 is: 894.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.42 : 3,085.88 = 596.57 : x
  2. Step 2: Convert to fraction form
    2,057.42/3,085.88 = 596.57/x
  3. Step 3: Cross multiply
    2,057.42x = 3,085.88 × 596.57
  4. Step 4: Simplify right side
    2,057.42x = 1,840,925.02
  5. Step 5: Solve for x
    x = 1,840,925.02/2,057.42
  6. Step 6: Final answer
    x = 894.78

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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.