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Finding the Fourth Proportional to 2,120.93, 2,926.86 and 1,189.43

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Solution

The fourth proportional to 2,120.93, 2,926.86 and 1,189.43 is: 1,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.93 : 2,926.86 = 1,189.43 : x
  2. Step 2: Convert to fraction form
    2,120.93/2,926.86 = 1,189.43/x
  3. Step 3: Cross multiply
    2,120.93x = 2,926.86 × 1,189.43
  4. Step 4: Simplify right side
    2,120.93x = 3,481,280.46
  5. Step 5: Solve for x
    x = 3,481,280.46/2,120.93
  6. Step 6: Final answer
    x = 1,641.40

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