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Finding the Fourth Proportional to 1,945.50, 2,684.79 and 1,117.66

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Solution

The fourth proportional to 1,945.50, 2,684.79 and 1,117.66 is: 1,542.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.50 : 2,684.79 = 1,117.66 : x
  2. Step 2: Convert to fraction form
    1,945.50/2,684.79 = 1,117.66/x
  3. Step 3: Cross multiply
    1,945.50x = 2,684.79 × 1,117.66
  4. Step 4: Simplify right side
    1,945.50x = 3,000,682.39
  5. Step 5: Solve for x
    x = 3,000,682.39/1,945.50
  6. Step 6: Final answer
    x = 1,542.37

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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.