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Finding the Fourth Proportional to 2,706.45, 3,734.88 and 1,527.48

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Solution

The fourth proportional to 2,706.45, 3,734.88 and 1,527.48 is: 2,107.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.45 : 3,734.88 = 1,527.48 : x
  2. Step 2: Convert to fraction form
    2,706.45/3,734.88 = 1,527.48/x
  3. Step 3: Cross multiply
    2,706.45x = 3,734.88 × 1,527.48
  4. Step 4: Simplify right side
    2,706.45x = 5,704,954.50
  5. Step 5: Solve for x
    x = 5,704,954.50/2,706.45
  6. Step 6: Final answer
    x = 2,107.91

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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.