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Finding the Fourth Proportional to 2,600.00, 3,899.96 and 1,764.99

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Solution

The fourth proportional to 2,600.00, 3,899.96 and 1,764.99 is: 2,647.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.00 : 3,899.96 = 1,764.99 : x
  2. Step 2: Convert to fraction form
    2,600.00/3,899.96 = 1,764.99/x
  3. Step 3: Cross multiply
    2,600.00x = 3,899.96 × 1,764.99
  4. Step 4: Simplify right side
    2,600.00x = 6,883,388.19
  5. Step 5: Solve for x
    x = 6,883,388.19/2,600.00
  6. Step 6: Final answer
    x = 2,647.46

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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.