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Finding the Fourth Proportional to 3,161.83, 4,742.13 and 969.97

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Solution

The fourth proportional to 3,161.83, 4,742.13 and 969.97 is: 1,454.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.83 : 4,742.13 = 969.97 : x
  2. Step 2: Convert to fraction form
    3,161.83/4,742.13 = 969.97/x
  3. Step 3: Cross multiply
    3,161.83x = 4,742.13 × 969.97
  4. Step 4: Simplify right side
    3,161.83x = 4,599,724.51
  5. Step 5: Solve for x
    x = 4,599,724.51/3,161.83
  6. Step 6: Final answer
    x = 1,454.77

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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.