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Finding the Fourth Proportional to 2,686.79, 3,709.75 and 2,369.67

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Solution

The fourth proportional to 2,686.79, 3,709.75 and 2,369.67 is: 3,271.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.79 : 3,709.75 = 2,369.67 : x
  2. Step 2: Convert to fraction form
    2,686.79/3,709.75 = 2,369.67/x
  3. Step 3: Cross multiply
    2,686.79x = 3,709.75 × 2,369.67
  4. Step 4: Simplify right side
    2,686.79x = 8,790,883.28
  5. Step 5: Solve for x
    x = 8,790,883.28/2,686.79
  6. Step 6: Final answer
    x = 3,271.89

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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.