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Finding the Fourth Proportional to 2,794.50, 4,191.75 and 1,064.34

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Solution

The fourth proportional to 2,794.50, 4,191.75 and 1,064.34 is: 1,596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.50 : 4,191.75 = 1,064.34 : x
  2. Step 2: Convert to fraction form
    2,794.50/4,191.75 = 1,064.34/x
  3. Step 3: Cross multiply
    2,794.50x = 4,191.75 × 1,064.34
  4. Step 4: Simplify right side
    2,794.50x = 4,461,447.20
  5. Step 5: Solve for x
    x = 4,461,447.20/2,794.50
  6. Step 6: Final answer
    x = 1,596.51

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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.