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Finding the Fourth Proportional to 2,704.08, 4,054.67 and 854.40

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Solution

The fourth proportional to 2,704.08, 4,054.67 and 854.40 is: 1,281.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.08 : 4,054.67 = 854.40 : x
  2. Step 2: Convert to fraction form
    2,704.08/4,054.67 = 854.40/x
  3. Step 3: Cross multiply
    2,704.08x = 4,054.67 × 854.40
  4. Step 4: Simplify right side
    2,704.08x = 3,464,310.05
  5. Step 5: Solve for x
    x = 3,464,310.05/2,704.08
  6. Step 6: Final answer
    x = 1,281.14

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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.