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Finding the Fourth Proportional to 1,914.08, 2,871.34 and 681.64

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Solution

The fourth proportional to 1,914.08, 2,871.34 and 681.64 is: 1,022.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.08 : 2,871.34 = 681.64 : x
  2. Step 2: Convert to fraction form
    1,914.08/2,871.34 = 681.64/x
  3. Step 3: Cross multiply
    1,914.08x = 2,871.34 × 681.64
  4. Step 4: Simplify right side
    1,914.08x = 1,957,220.20
  5. Step 5: Solve for x
    x = 1,957,220.20/1,914.08
  6. Step 6: Final answer
    x = 1,022.54

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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.