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Finding the Fourth Proportional to 2,059.49, 2,843.40 and 1,352.58

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Solution

The fourth proportional to 2,059.49, 2,843.40 and 1,352.58 is: 1,867.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.49 : 2,843.40 = 1,352.58 : x
  2. Step 2: Convert to fraction form
    2,059.49/2,843.40 = 1,352.58/x
  3. Step 3: Cross multiply
    2,059.49x = 2,843.40 × 1,352.58
  4. Step 4: Simplify right side
    2,059.49x = 3,845,936.38
  5. Step 5: Solve for x
    x = 3,845,936.38/2,059.49
  6. Step 6: Final answer
    x = 1,867.42

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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.