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Finding the Fourth Proportional to 2,184.39, 3,014.42 and 1,189.71

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Solution

The fourth proportional to 2,184.39, 3,014.42 and 1,189.71 is: 1,641.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.39 : 3,014.42 = 1,189.71 : x
  2. Step 2: Convert to fraction form
    2,184.39/3,014.42 = 1,189.71/x
  3. Step 3: Cross multiply
    2,184.39x = 3,014.42 × 1,189.71
  4. Step 4: Simplify right side
    2,184.39x = 3,586,279.67
  5. Step 5: Solve for x
    x = 3,586,279.67/2,184.39
  6. Step 6: Final answer
    x = 1,641.78

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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.