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Finding the Fourth Proportional to 2,057.80, 3,086.34 and 596.80

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Solution

The fourth proportional to 2,057.80, 3,086.34 and 596.80 is: 895.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.80 : 3,086.34 = 596.80 : x
  2. Step 2: Convert to fraction form
    2,057.80/3,086.34 = 596.80/x
  3. Step 3: Cross multiply
    2,057.80x = 3,086.34 × 596.80
  4. Step 4: Simplify right side
    2,057.80x = 1,841,927.71
  5. Step 5: Solve for x
    x = 1,841,927.71/2,057.80
  6. Step 6: Final answer
    x = 895.10

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1.5x scale

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.