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Finding the Fourth Proportional to 3,205.47, 4,805.36 and 1,259.03

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Solution

The fourth proportional to 3,205.47, 4,805.36 and 1,259.03 is: 1,887.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.47 : 4,805.36 = 1,259.03 : x
  2. Step 2: Convert to fraction form
    3,205.47/4,805.36 = 1,259.03/x
  3. Step 3: Cross multiply
    3,205.47x = 4,805.36 × 1,259.03
  4. Step 4: Simplify right side
    3,205.47x = 6,050,086.11
  5. Step 5: Solve for x
    x = 6,050,086.11/3,205.47
  6. Step 6: Final answer
    x = 1,887.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.