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Finding the Fourth Proportional to 1,945.99, 2,685.66 and 1,106.73

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Solution

The fourth proportional to 1,945.99, 2,685.66 and 1,106.73 is: 1,527.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.99 : 2,685.66 = 1,106.73 : x
  2. Step 2: Convert to fraction form
    1,945.99/2,685.66 = 1,106.73/x
  3. Step 3: Cross multiply
    1,945.99x = 2,685.66 × 1,106.73
  4. Step 4: Simplify right side
    1,945.99x = 2,972,296.34
  5. Step 5: Solve for x
    x = 2,972,296.34/1,945.99
  6. Step 6: Final answer
    x = 1,527.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.