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Finding the Fourth Proportional to 2,321.91, 3,204.14 and 1,274.00

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Solution

The fourth proportional to 2,321.91, 3,204.14 and 1,274.00 is: 1,758.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.91 : 3,204.14 = 1,274.00 : x
  2. Step 2: Convert to fraction form
    2,321.91/3,204.14 = 1,274.00/x
  3. Step 3: Cross multiply
    2,321.91x = 3,204.14 × 1,274.00
  4. Step 4: Simplify right side
    2,321.91x = 4,082,051.97
  5. Step 5: Solve for x
    x = 4,082,051.97/2,321.91
  6. Step 6: Final answer
    x = 1,758.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.