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Finding the Fourth Proportional to 2,194.63, 3,292.52 and 634.76

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Solution

The fourth proportional to 2,194.63, 3,292.52 and 634.76 is: 952.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.63 : 3,292.52 = 634.76 : x
  2. Step 2: Convert to fraction form
    2,194.63/3,292.52 = 634.76/x
  3. Step 3: Cross multiply
    2,194.63x = 3,292.52 × 634.76
  4. Step 4: Simplify right side
    2,194.63x = 2,089,960.00
  5. Step 5: Solve for x
    x = 2,089,960.00/2,194.63
  6. Step 6: Final answer
    x = 952.31

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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.