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Finding the Fourth Proportional to 2,770.03, 3,822.55 and 1,591.08

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Solution

The fourth proportional to 2,770.03, 3,822.55 and 1,591.08 is: 2,195.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.03 : 3,822.55 = 1,591.08 : x
  2. Step 2: Convert to fraction form
    2,770.03/3,822.55 = 1,591.08/x
  3. Step 3: Cross multiply
    2,770.03x = 3,822.55 × 1,591.08
  4. Step 4: Simplify right side
    2,770.03x = 6,081,982.85
  5. Step 5: Solve for x
    x = 6,081,982.85/2,770.03
  6. Step 6: Final answer
    x = 2,195.64

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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.