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Finding the Fourth Proportional to 3,276.12, 4,914.12 and 810.94

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Solution

The fourth proportional to 3,276.12, 4,914.12 and 810.94 is: 1,216.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,276.12 : 4,914.12 = 810.94 : x
  2. Step 2: Convert to fraction form
    3,276.12/4,914.12 = 810.94/x
  3. Step 3: Cross multiply
    3,276.12x = 4,914.12 × 810.94
  4. Step 4: Simplify right side
    3,276.12x = 3,985,058.50
  5. Step 5: Solve for x
    x = 3,985,058.50/3,276.12
  6. Step 6: Final answer
    x = 1,216.40

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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.