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Finding the Fourth Proportional to 2,057.52, 3,086.28 and 596.67

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Solution

The fourth proportional to 2,057.52, 3,086.28 and 596.67 is: 895.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.52 : 3,086.28 = 596.67 : x
  2. Step 2: Convert to fraction form
    2,057.52/3,086.28 = 596.67/x
  3. Step 3: Cross multiply
    2,057.52x = 3,086.28 × 596.67
  4. Step 4: Simplify right side
    2,057.52x = 1,841,490.69
  5. Step 5: Solve for x
    x = 1,841,490.69/2,057.52
  6. Step 6: Final answer
    x = 895.01

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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.