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Finding the Fourth Proportional to 3,205.96, 4,811.64 and 1,259.53

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Solution

The fourth proportional to 3,205.96, 4,811.64 and 1,259.53 is: 1,890.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.96 : 4,811.64 = 1,259.53 : x
  2. Step 2: Convert to fraction form
    3,205.96/4,811.64 = 1,259.53/x
  3. Step 3: Cross multiply
    3,205.96x = 4,811.64 × 1,259.53
  4. Step 4: Simplify right side
    3,205.96x = 6,060,404.93
  5. Step 5: Solve for x
    x = 6,060,404.93/3,205.96
  6. Step 6: Final answer
    x = 1,890.36

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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.