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Finding the Fourth Proportional to 2,684.33, 3,704.84 and 1,565.92

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Solution

The fourth proportional to 2,684.33, 3,704.84 and 1,565.92 is: 2,161.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.33 : 3,704.84 = 1,565.92 : x
  2. Step 2: Convert to fraction form
    2,684.33/3,704.84 = 1,565.92/x
  3. Step 3: Cross multiply
    2,684.33x = 3,704.84 × 1,565.92
  4. Step 4: Simplify right side
    2,684.33x = 5,801,483.05
  5. Step 5: Solve for x
    x = 5,801,483.05/2,684.33
  6. Step 6: Final answer
    x = 2,161.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.