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Finding the Fourth Proportional to 2,696.85, 3,720.56 and 2,167.07

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Solution

The fourth proportional to 2,696.85, 3,720.56 and 2,167.07 is: 2,989.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.85 : 3,720.56 = 2,167.07 : x
  2. Step 2: Convert to fraction form
    2,696.85/3,720.56 = 2,167.07/x
  3. Step 3: Cross multiply
    2,696.85x = 3,720.56 × 2,167.07
  4. Step 4: Simplify right side
    2,696.85x = 8,062,684.52
  5. Step 5: Solve for x
    x = 8,062,684.52/2,696.85
  6. Step 6: Final answer
    x = 2,989.67

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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.