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Finding the Fourth Proportional to 2,706.27, 3,735 and 1,527.34

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Solution

The fourth proportional to 2,706.27, 3,735 and 1,527.34 is: 2,107.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.27 : 3,735 = 1,527.34 : x
  2. Step 2: Convert to fraction form
    2,706.27/3,735 = 1,527.34/x
  3. Step 3: Cross multiply
    2,706.27x = 3,735 × 1,527.34
  4. Step 4: Simplify right side
    2,706.27x = 5,704,614.90
  5. Step 5: Solve for x
    x = 5,704,614.90/2,706.27
  6. Step 6: Final answer
    x = 2,107.93

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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.