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Finding the Fourth Proportional to 2,398.62, 3,598.38 and 937.68

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Solution

The fourth proportional to 2,398.62, 3,598.38 and 937.68 is: 1,406.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.62 : 3,598.38 = 937.68 : x
  2. Step 2: Convert to fraction form
    2,398.62/3,598.38 = 937.68/x
  3. Step 3: Cross multiply
    2,398.62x = 3,598.38 × 937.68
  4. Step 4: Simplify right side
    2,398.62x = 3,374,128.96
  5. Step 5: Solve for x
    x = 3,374,128.96/2,398.62
  6. Step 6: Final answer
    x = 1,406.70

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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.