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Finding the Fourth Proportional to 2,359.02, 3,254.99 and 2,006.37

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Solution

The fourth proportional to 2,359.02, 3,254.99 and 2,006.37 is: 2,768.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.02 : 3,254.99 = 2,006.37 : x
  2. Step 2: Convert to fraction form
    2,359.02/3,254.99 = 2,006.37/x
  3. Step 3: Cross multiply
    2,359.02x = 3,254.99 × 2,006.37
  4. Step 4: Simplify right side
    2,359.02x = 6,530,704.25
  5. Step 5: Solve for x
    x = 6,530,704.25/2,359.02
  6. Step 6: Final answer
    x = 2,768.39

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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.