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Finding the Fourth Proportional to 2,135.28, 3,202.86 and 596.28

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Solution

The fourth proportional to 2,135.28, 3,202.86 and 596.28 is: 894.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.28 : 3,202.86 = 596.28 : x
  2. Step 2: Convert to fraction form
    2,135.28/3,202.86 = 596.28/x
  3. Step 3: Cross multiply
    2,135.28x = 3,202.86 × 596.28
  4. Step 4: Simplify right side
    2,135.28x = 1,909,801.36
  5. Step 5: Solve for x
    x = 1,909,801.36/2,135.28
  6. Step 6: Final answer
    x = 894.40

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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.