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Finding the Fourth Proportional to 2,056.98, 3,086.02 and 596.24

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Solution

The fourth proportional to 2,056.98, 3,086.02 and 596.24 is: 894.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.98 : 3,086.02 = 596.24 : x
  2. Step 2: Convert to fraction form
    2,056.98/3,086.02 = 596.24/x
  3. Step 3: Cross multiply
    2,056.98x = 3,086.02 × 596.24
  4. Step 4: Simplify right side
    2,056.98x = 1,840,008.56
  5. Step 5: Solve for x
    x = 1,840,008.56/2,056.98
  6. Step 6: Final answer
    x = 894.52

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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.