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Finding the Fourth Proportional to 2,770.40, 3,823.08 and 1,591.40

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Solution

The fourth proportional to 2,770.40, 3,823.08 and 1,591.40 is: 2,196.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.40 : 3,823.08 = 1,591.40 : x
  2. Step 2: Convert to fraction form
    2,770.40/3,823.08 = 1,591.40/x
  3. Step 3: Cross multiply
    2,770.40x = 3,823.08 × 1,591.40
  4. Step 4: Simplify right side
    2,770.40x = 6,084,049.51
  5. Step 5: Solve for x
    x = 6,084,049.51/2,770.40
  6. Step 6: Final answer
    x = 2,196.09

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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.