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Finding the Fourth Proportional to 2,794.35, 4,191.62 and 846.57

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Solution

The fourth proportional to 2,794.35, 4,191.62 and 846.57 is: 1,269.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.35 : 4,191.62 = 846.57 : x
  2. Step 2: Convert to fraction form
    2,794.35/4,191.62 = 846.57/x
  3. Step 3: Cross multiply
    2,794.35x = 4,191.62 × 846.57
  4. Step 4: Simplify right side
    2,794.35x = 3,548,495.51
  5. Step 5: Solve for x
    x = 3,548,495.51/2,794.35
  6. Step 6: Final answer
    x = 1,269.88

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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.