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Finding the Fourth Proportional to 2,351.44, 3,526.89 and 596.44

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Solution

The fourth proportional to 2,351.44, 3,526.89 and 596.44 is: 894.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.44 : 3,526.89 = 596.44 : x
  2. Step 2: Convert to fraction form
    2,351.44/3,526.89 = 596.44/x
  3. Step 3: Cross multiply
    2,351.44x = 3,526.89 × 596.44
  4. Step 4: Simplify right side
    2,351.44x = 2,103,578.27
  5. Step 5: Solve for x
    x = 2,103,578.27/2,351.44
  6. Step 6: Final answer
    x = 894.59

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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.