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Finding the Fourth Proportional to 2,398.62, 3,597.02 and 937.59

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Solution

The fourth proportional to 2,398.62, 3,597.02 and 937.59 is: 1,406.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.62 : 3,597.02 = 937.59 : x
  2. Step 2: Convert to fraction form
    2,398.62/3,597.02 = 937.59/x
  3. Step 3: Cross multiply
    2,398.62x = 3,597.02 × 937.59
  4. Step 4: Simplify right side
    2,398.62x = 3,372,529.98
  5. Step 5: Solve for x
    x = 3,372,529.98/2,398.62
  6. Step 6: Final answer
    x = 1,406.03

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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.