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Finding the Fourth Proportional to 2,311.43, 3,467.07 and 668.00

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Solution

The fourth proportional to 2,311.43, 3,467.07 and 668.00 is: 1,001.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.43 : 3,467.07 = 668.00 : x
  2. Step 2: Convert to fraction form
    2,311.43/3,467.07 = 668.00/x
  3. Step 3: Cross multiply
    2,311.43x = 3,467.07 × 668.00
  4. Step 4: Simplify right side
    2,311.43x = 2,316,011.43
  5. Step 5: Solve for x
    x = 2,316,011.43/2,311.43
  6. Step 6: Final answer
    x = 1,001.98

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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.