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Finding the Fourth Proportional to 2,367.92, 3,565.62 and 1,755.96

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Solution

The fourth proportional to 2,367.92, 3,565.62 and 1,755.96 is: 2,644.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.92 : 3,565.62 = 1,755.96 : x
  2. Step 2: Convert to fraction form
    2,367.92/3,565.62 = 1,755.96/x
  3. Step 3: Cross multiply
    2,367.92x = 3,565.62 × 1,755.96
  4. Step 4: Simplify right side
    2,367.92x = 6,261,086.10
  5. Step 5: Solve for x
    x = 6,261,086.10/2,367.92
  6. Step 6: Final answer
    x = 2,644.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.