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Finding the Fourth Proportional to 2,188.69, 3,020.14 and 1,244.59

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Solution

The fourth proportional to 2,188.69, 3,020.14 and 1,244.59 is: 1,717.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.69 : 3,020.14 = 1,244.59 : x
  2. Step 2: Convert to fraction form
    2,188.69/3,020.14 = 1,244.59/x
  3. Step 3: Cross multiply
    2,188.69x = 3,020.14 × 1,244.59
  4. Step 4: Simplify right side
    2,188.69x = 3,758,836.04
  5. Step 5: Solve for x
    x = 3,758,836.04/2,188.69
  6. Step 6: Final answer
    x = 1,717.39

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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.