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Finding the Fourth Proportional to 3,205.41, 4,810.14 and 1,257.57

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Solution

The fourth proportional to 3,205.41, 4,810.14 and 1,257.57 is: 1,887.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.41 : 4,810.14 = 1,257.57 : x
  2. Step 2: Convert to fraction form
    3,205.41/4,810.14 = 1,257.57/x
  3. Step 3: Cross multiply
    3,205.41x = 4,810.14 × 1,257.57
  4. Step 4: Simplify right side
    3,205.41x = 6,049,087.76
  5. Step 5: Solve for x
    x = 6,049,087.76/3,205.41
  6. Step 6: Final answer
    x = 1,887.15

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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.