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Finding the Fourth Proportional to 2,706.78, 3,735.36 and 1,527.83

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Solution

The fourth proportional to 2,706.78, 3,735.36 and 1,527.83 is: 2,108.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.78 : 3,735.36 = 1,527.83 : x
  2. Step 2: Convert to fraction form
    2,706.78/3,735.36 = 1,527.83/x
  3. Step 3: Cross multiply
    2,706.78x = 3,735.36 × 1,527.83
  4. Step 4: Simplify right side
    2,706.78x = 5,706,995.07
  5. Step 5: Solve for x
    x = 5,706,995.07/2,706.78
  6. Step 6: Final answer
    x = 2,108.41

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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.