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Finding the Fourth Proportional to 1,968.34, 2,716.14 and 1,160.67

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Solution

The fourth proportional to 1,968.34, 2,716.14 and 1,160.67 is: 1,601.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.34 : 2,716.14 = 1,160.67 : x
  2. Step 2: Convert to fraction form
    1,968.34/2,716.14 = 1,160.67/x
  3. Step 3: Cross multiply
    1,968.34x = 2,716.14 × 1,160.67
  4. Step 4: Simplify right side
    1,968.34x = 3,152,542.21
  5. Step 5: Solve for x
    x = 3,152,542.21/1,968.34
  6. Step 6: Final answer
    x = 1,601.62

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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.