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Finding the Fourth Proportional to 2,947.22, 4,419.44 and 1,304.22

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Solution

The fourth proportional to 2,947.22, 4,419.44 and 1,304.22 is: 1,955.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.22 : 4,419.44 = 1,304.22 : x
  2. Step 2: Convert to fraction form
    2,947.22/4,419.44 = 1,304.22/x
  3. Step 3: Cross multiply
    2,947.22x = 4,419.44 × 1,304.22
  4. Step 4: Simplify right side
    2,947.22x = 5,763,922.04
  5. Step 5: Solve for x
    x = 5,763,922.04/2,947.22
  6. Step 6: Final answer
    x = 1,955.71

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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.