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Finding the Fourth Proportional to 2,397.92, 3,596.70 and 666.68

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Solution

The fourth proportional to 2,397.92, 3,596.70 and 666.68 is: 999.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.92 : 3,596.70 = 666.68 : x
  2. Step 2: Convert to fraction form
    2,397.92/3,596.70 = 666.68/x
  3. Step 3: Cross multiply
    2,397.92x = 3,596.70 × 666.68
  4. Step 4: Simplify right side
    2,397.92x = 2,397,847.96
  5. Step 5: Solve for x
    x = 2,397,847.96/2,397.92
  6. Step 6: Final answer
    x = 999.97

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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.