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Finding the Fourth Proportional to 2,397.24, 3,596.05 and 665.86

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Solution

The fourth proportional to 2,397.24, 3,596.05 and 665.86 is: 998.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.24 : 3,596.05 = 665.86 : x
  2. Step 2: Convert to fraction form
    2,397.24/3,596.05 = 665.86/x
  3. Step 3: Cross multiply
    2,397.24x = 3,596.05 × 665.86
  4. Step 4: Simplify right side
    2,397.24x = 2,394,464.19
  5. Step 5: Solve for x
    x = 2,394,464.19/2,397.24
  6. Step 6: Final answer
    x = 998.84

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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.