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Finding the Fourth Proportional to 2,706.75, 3,735.32 and 1,464.75

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Solution

The fourth proportional to 2,706.75, 3,735.32 and 1,464.75 is: 2,021.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.75 : 3,735.32 = 1,464.75 : x
  2. Step 2: Convert to fraction form
    2,706.75/3,735.32 = 1,464.75/x
  3. Step 3: Cross multiply
    2,706.75x = 3,735.32 × 1,464.75
  4. Step 4: Simplify right side
    2,706.75x = 5,471,302.65
  5. Step 5: Solve for x
    x = 5,471,302.65/2,706.75
  6. Step 6: Final answer
    x = 2,021.36

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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.