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Finding the Fourth Proportional to 2,706.88, 3,735.46 and 1,659

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Solution

The fourth proportional to 2,706.88, 3,735.46 and 1,659 is: 2,289.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.88 : 3,735.46 = 1,659 : x
  2. Step 2: Convert to fraction form
    2,706.88/3,735.46 = 1,659/x
  3. Step 3: Cross multiply
    2,706.88x = 3,735.46 × 1,659
  4. Step 4: Simplify right side
    2,706.88x = 6,197,128.14
  5. Step 5: Solve for x
    x = 6,197,128.14/2,706.88
  6. Step 6: Final answer
    x = 2,289.40

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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.