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Finding the Fourth Proportional to 2,198.59, 3,034.59 and 1,302.37

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Solution

The fourth proportional to 2,198.59, 3,034.59 and 1,302.37 is: 1,797.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.59 : 3,034.59 = 1,302.37 : x
  2. Step 2: Convert to fraction form
    2,198.59/3,034.59 = 1,302.37/x
  3. Step 3: Cross multiply
    2,198.59x = 3,034.59 × 1,302.37
  4. Step 4: Simplify right side
    2,198.59x = 3,952,146.51
  5. Step 5: Solve for x
    x = 3,952,146.51/2,198.59
  6. Step 6: Final answer
    x = 1,797.58

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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.