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Finding the Fourth Proportional to 3,193.94, 4,791.63 and 972.97

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Solution

The fourth proportional to 3,193.94, 4,791.63 and 972.97 is: 1,459.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.94 : 4,791.63 = 972.97 : x
  2. Step 2: Convert to fraction form
    3,193.94/4,791.63 = 972.97/x
  3. Step 3: Cross multiply
    3,193.94x = 4,791.63 × 972.97
  4. Step 4: Simplify right side
    3,193.94x = 4,662,112.24
  5. Step 5: Solve for x
    x = 4,662,112.24/3,193.94
  6. Step 6: Final answer
    x = 1,459.67

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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.