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Finding the Fourth Proportional to 1,850.85, 2,774.68 and 810.07

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Solution

The fourth proportional to 1,850.85, 2,774.68 and 810.07 is: 1,214.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.85 : 2,774.68 = 810.07 : x
  2. Step 2: Convert to fraction form
    1,850.85/2,774.68 = 810.07/x
  3. Step 3: Cross multiply
    1,850.85x = 2,774.68 × 810.07
  4. Step 4: Simplify right side
    1,850.85x = 2,247,685.03
  5. Step 5: Solve for x
    x = 2,247,685.03/1,850.85
  6. Step 6: Final answer
    x = 1,214.41

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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.