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Finding the Fourth Proportional to 2,351.28, 3,526.84 and 596.34

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Solution

The fourth proportional to 2,351.28, 3,526.84 and 596.34 is: 894.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.28 : 3,526.84 = 596.34 : x
  2. Step 2: Convert to fraction form
    2,351.28/3,526.84 = 596.34/x
  3. Step 3: Cross multiply
    2,351.28x = 3,526.84 × 596.34
  4. Step 4: Simplify right side
    2,351.28x = 2,103,186.59
  5. Step 5: Solve for x
    x = 2,103,186.59/2,351.28
  6. Step 6: Final answer
    x = 894.49

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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.