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Finding the Fourth Proportional to 2,704.13, 4,056.59 and 854.82

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Solution

The fourth proportional to 2,704.13, 4,056.59 and 854.82 is: 1,282.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.13 : 4,056.59 = 854.82 : x
  2. Step 2: Convert to fraction form
    2,704.13/4,056.59 = 854.82/x
  3. Step 3: Cross multiply
    2,704.13x = 4,056.59 × 854.82
  4. Step 4: Simplify right side
    2,704.13x = 3,467,649.99
  5. Step 5: Solve for x
    x = 3,467,649.99/2,704.13
  6. Step 6: Final answer
    x = 1,282.36

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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.