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Finding the Fourth Proportional to 3,205.54, 4,810.26 and 1,257.76

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Solution

The fourth proportional to 3,205.54, 4,810.26 and 1,257.76 is: 1,887.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.54 : 4,810.26 = 1,257.76 : x
  2. Step 2: Convert to fraction form
    3,205.54/4,810.26 = 1,257.76/x
  3. Step 3: Cross multiply
    3,205.54x = 4,810.26 × 1,257.76
  4. Step 4: Simplify right side
    3,205.54x = 6,050,152.62
  5. Step 5: Solve for x
    x = 6,050,152.62/3,205.54
  6. Step 6: Final answer
    x = 1,887.41

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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.