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Finding the Fourth Proportional to 2,189.79, 3,021.71 and 1,293.39

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Solution

The fourth proportional to 2,189.79, 3,021.71 and 1,293.39 is: 1,784.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.79 : 3,021.71 = 1,293.39 : x
  2. Step 2: Convert to fraction form
    2,189.79/3,021.71 = 1,293.39/x
  3. Step 3: Cross multiply
    2,189.79x = 3,021.71 × 1,293.39
  4. Step 4: Simplify right side
    2,189.79x = 3,908,243.03
  5. Step 5: Solve for x
    x = 3,908,243.03/2,189.79
  6. Step 6: Final answer
    x = 1,784.76

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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.