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Finding the Fourth Proportional to 2,706.57, 3,735.32 and 1,527.75

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Solution

The fourth proportional to 2,706.57, 3,735.32 and 1,527.75 is: 2,108.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.57 : 3,735.32 = 1,527.75 : x
  2. Step 2: Convert to fraction form
    2,706.57/3,735.32 = 1,527.75/x
  3. Step 3: Cross multiply
    2,706.57x = 3,735.32 × 1,527.75
  4. Step 4: Simplify right side
    2,706.57x = 5,706,627.49
  5. Step 5: Solve for x
    x = 5,706,627.49/2,706.57
  6. Step 6: Final answer
    x = 2,108.44

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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.