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Finding the Fourth Proportional to 2,693.34, 3,715.67 and 1,945.67

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Solution

The fourth proportional to 2,693.34, 3,715.67 and 1,945.67 is: 2,684.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.34 : 3,715.67 = 1,945.67 : x
  2. Step 2: Convert to fraction form
    2,693.34/3,715.67 = 1,945.67/x
  3. Step 3: Cross multiply
    2,693.34x = 3,715.67 × 1,945.67
  4. Step 4: Simplify right side
    2,693.34x = 7,229,453.93
  5. Step 5: Solve for x
    x = 7,229,453.93/2,693.34
  6. Step 6: Final answer
    x = 2,684.20

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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.