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Finding the Fourth Proportional to 2,706.18, 3,735 and 1,711.14

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Solution

The fourth proportional to 2,706.18, 3,735 and 1,711.14 is: 2,361.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.18 : 3,735 = 1,711.14 : x
  2. Step 2: Convert to fraction form
    2,706.18/3,735 = 1,711.14/x
  3. Step 3: Cross multiply
    2,706.18x = 3,735 × 1,711.14
  4. Step 4: Simplify right side
    2,706.18x = 6,391,107.90
  5. Step 5: Solve for x
    x = 6,391,107.90/2,706.18
  6. Step 6: Final answer
    x = 2,361.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.