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Finding the Fourth Proportional to 2,294.72, 3,165.60 and 1,362.56

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Solution

The fourth proportional to 2,294.72, 3,165.60 and 1,362.56 is: 1,879.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.72 : 3,165.60 = 1,362.56 : x
  2. Step 2: Convert to fraction form
    2,294.72/3,165.60 = 1,362.56/x
  3. Step 3: Cross multiply
    2,294.72x = 3,165.60 × 1,362.56
  4. Step 4: Simplify right side
    2,294.72x = 4,313,319.94
  5. Step 5: Solve for x
    x = 4,313,319.94/2,294.72
  6. Step 6: Final answer
    x = 1,879.67

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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.