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Finding the Fourth Proportional to 2,706.94, 3,735.59 and 1,464.94

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Solution

The fourth proportional to 2,706.94, 3,735.59 and 1,464.94 is: 2,021.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.94 : 3,735.59 = 1,464.94 : x
  2. Step 2: Convert to fraction form
    2,706.94/3,735.59 = 1,464.94/x
  3. Step 3: Cross multiply
    2,706.94x = 3,735.59 × 1,464.94
  4. Step 4: Simplify right side
    2,706.94x = 5,472,415.21
  5. Step 5: Solve for x
    x = 5,472,415.21/2,706.94
  6. Step 6: Final answer
    x = 2,021.62

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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.