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Finding the Fourth Proportional to 1,389.07, 1,918.34 and 1,191.43

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Solution

The fourth proportional to 1,389.07, 1,918.34 and 1,191.43 is: 1,645.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.07 : 1,918.34 = 1,191.43 : x
  2. Step 2: Convert to fraction form
    1,389.07/1,918.34 = 1,191.43/x
  3. Step 3: Cross multiply
    1,389.07x = 1,918.34 × 1,191.43
  4. Step 4: Simplify right side
    1,389.07x = 2,285,567.83
  5. Step 5: Solve for x
    x = 2,285,567.83/1,389.07
  6. Step 6: Final answer
    x = 1,645.39

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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.