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Finding the Fourth Proportional to 2,715.22, 3,747.67 and 1,773.36

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Solution

The fourth proportional to 2,715.22, 3,747.67 and 1,773.36 is: 2,447.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.22 : 3,747.67 = 1,773.36 : x
  2. Step 2: Convert to fraction form
    2,715.22/3,747.67 = 1,773.36/x
  3. Step 3: Cross multiply
    2,715.22x = 3,747.67 × 1,773.36
  4. Step 4: Simplify right side
    2,715.22x = 6,645,963.64
  5. Step 5: Solve for x
    x = 6,645,963.64/2,715.22
  6. Step 6: Final answer
    x = 2,447.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.