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Finding the Fourth Proportional to 1,289.94, 1,942.54 and 1,161.45

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Solution

The fourth proportional to 1,289.94, 1,942.54 and 1,161.45 is: 1,749.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.94 : 1,942.54 = 1,161.45 : x
  2. Step 2: Convert to fraction form
    1,289.94/1,942.54 = 1,161.45/x
  3. Step 3: Cross multiply
    1,289.94x = 1,942.54 × 1,161.45
  4. Step 4: Simplify right side
    1,289.94x = 2,256,160.18
  5. Step 5: Solve for x
    x = 2,256,160.18/1,289.94
  6. Step 6: Final answer
    x = 1,749.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.