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Finding the Fourth Proportional to 2,057.31, 3,085.65 and 596.43

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Solution

The fourth proportional to 2,057.31, 3,085.65 and 596.43 is: 894.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.31 : 3,085.65 = 596.43 : x
  2. Step 2: Convert to fraction form
    2,057.31/3,085.65 = 596.43/x
  3. Step 3: Cross multiply
    2,057.31x = 3,085.65 × 596.43
  4. Step 4: Simplify right side
    2,057.31x = 1,840,374.23
  5. Step 5: Solve for x
    x = 1,840,374.23/2,057.31
  6. Step 6: Final answer
    x = 894.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.