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Finding the Fourth Proportional to 2,397.51, 3,596.67 and 936.45

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Solution

The fourth proportional to 2,397.51, 3,596.67 and 936.45 is: 1,404.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.51 : 3,596.67 = 936.45 : x
  2. Step 2: Convert to fraction form
    2,397.51/3,596.67 = 936.45/x
  3. Step 3: Cross multiply
    2,397.51x = 3,596.67 × 936.45
  4. Step 4: Simplify right side
    2,397.51x = 3,368,101.62
  5. Step 5: Solve for x
    x = 3,368,101.62/2,397.51
  6. Step 6: Final answer
    x = 1,404.83

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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.