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Finding the Fourth Proportional to 2,398.35, 3,598.07 and 937.92

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Solution

The fourth proportional to 2,398.35, 3,598.07 and 937.92 is: 1,407.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.35 : 3,598.07 = 937.92 : x
  2. Step 2: Convert to fraction form
    2,398.35/3,598.07 = 937.92/x
  3. Step 3: Cross multiply
    2,398.35x = 3,598.07 × 937.92
  4. Step 4: Simplify right side
    2,398.35x = 3,374,701.81
  5. Step 5: Solve for x
    x = 3,374,701.81/2,398.35
  6. Step 6: Final answer
    x = 1,407.09

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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.