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Finding the Fourth Proportional to 2,647.07, 3,964.53 and 2,059.01

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Solution

The fourth proportional to 2,647.07, 3,964.53 and 2,059.01 is: 3,083.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.07 : 3,964.53 = 2,059.01 : x
  2. Step 2: Convert to fraction form
    2,647.07/3,964.53 = 2,059.01/x
  3. Step 3: Cross multiply
    2,647.07x = 3,964.53 × 2,059.01
  4. Step 4: Simplify right side
    2,647.07x = 8,163,006.92
  5. Step 5: Solve for x
    x = 8,163,006.92/2,647.07
  6. Step 6: Final answer
    x = 3,083.79

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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.