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Finding the Fourth Proportional to 3,161.19, 4,741.97 and 969.94

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Solution

The fourth proportional to 3,161.19, 4,741.97 and 969.94 is: 1,454.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.19 : 4,741.97 = 969.94 : x
  2. Step 2: Convert to fraction form
    3,161.19/4,741.97 = 969.94/x
  3. Step 3: Cross multiply
    3,161.19x = 4,741.97 × 969.94
  4. Step 4: Simplify right side
    3,161.19x = 4,599,426.38
  5. Step 5: Solve for x
    x = 4,599,426.38/3,161.19
  6. Step 6: Final answer
    x = 1,454.97

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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.