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Finding the Fourth Proportional to 2,257.88, 3,387.78 and 1,216.67

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Solution

The fourth proportional to 2,257.88, 3,387.78 and 1,216.67 is: 1,825.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.88 : 3,387.78 = 1,216.67 : x
  2. Step 2: Convert to fraction form
    2,257.88/3,387.78 = 1,216.67/x
  3. Step 3: Cross multiply
    2,257.88x = 3,387.78 × 1,216.67
  4. Step 4: Simplify right side
    2,257.88x = 4,121,823.00
  5. Step 5: Solve for x
    x = 4,121,823.00/2,257.88
  6. Step 6: Final answer
    x = 1,825.53

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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.