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Finding the Fourth Proportional to 1,850.69, 2,771.67 and 971.09

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Solution

The fourth proportional to 1,850.69, 2,771.67 and 971.09 is: 1,454.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.69 : 2,771.67 = 971.09 : x
  2. Step 2: Convert to fraction form
    1,850.69/2,771.67 = 971.09/x
  3. Step 3: Cross multiply
    1,850.69x = 2,771.67 × 971.09
  4. Step 4: Simplify right side
    1,850.69x = 2,691,541.02
  5. Step 5: Solve for x
    x = 2,691,541.02/1,850.69
  6. Step 6: Final answer
    x = 1,454.34

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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.