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Finding the Fourth Proportional to 3,072.21, 4,606.97 and 880.44

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Solution

The fourth proportional to 3,072.21, 4,606.97 and 880.44 is: 1,320.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.21 : 4,606.97 = 880.44 : x
  2. Step 2: Convert to fraction form
    3,072.21/4,606.97 = 880.44/x
  3. Step 3: Cross multiply
    3,072.21x = 4,606.97 × 880.44
  4. Step 4: Simplify right side
    3,072.21x = 4,056,156.26
  5. Step 5: Solve for x
    x = 4,056,156.26/3,072.21
  6. Step 6: Final answer
    x = 1,320.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.