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Finding the Fourth Proportional to 2,398.70, 3,596.63 and 936.14

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Solution

The fourth proportional to 2,398.70, 3,596.63 and 936.14 is: 1,403.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.70 : 3,596.63 = 936.14 : x
  2. Step 2: Convert to fraction form
    2,398.70/3,596.63 = 936.14/x
  3. Step 3: Cross multiply
    2,398.70x = 3,596.63 × 936.14
  4. Step 4: Simplify right side
    2,398.70x = 3,366,953.52
  5. Step 5: Solve for x
    x = 3,366,953.52/2,398.70
  6. Step 6: Final answer
    x = 1,403.66

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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.