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Finding the Fourth Proportional to 2,706.78, 3,735.36 and 1,464.78

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Solution

The fourth proportional to 2,706.78, 3,735.36 and 1,464.78 is: 2,021.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.78 : 3,735.36 = 1,464.78 : x
  2. Step 2: Convert to fraction form
    2,706.78/3,735.36 = 1,464.78/x
  3. Step 3: Cross multiply
    2,706.78x = 3,735.36 × 1,464.78
  4. Step 4: Simplify right side
    2,706.78x = 5,471,480.62
  5. Step 5: Solve for x
    x = 5,471,480.62/2,706.78
  6. Step 6: Final answer
    x = 2,021.40

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1.5x scale

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.