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Finding the Fourth Proportional to 2,311.56, 3,467.00 and 645.80

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Solution

The fourth proportional to 2,311.56, 3,467.00 and 645.80 is: 968.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.56 : 3,467.00 = 645.80 : x
  2. Step 2: Convert to fraction form
    2,311.56/3,467.00 = 645.80/x
  3. Step 3: Cross multiply
    2,311.56x = 3,467.00 × 645.80
  4. Step 4: Simplify right side
    2,311.56x = 2,238,968.04
  5. Step 5: Solve for x
    x = 2,238,968.04/2,311.56
  6. Step 6: Final answer
    x = 968.60

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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.