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Finding the Fourth Proportional to 2,636.97, 3,638.91 and 1,458.03

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Solution

The fourth proportional to 2,636.97, 3,638.91 and 1,458.03 is: 2,012.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.97 : 3,638.91 = 1,458.03 : x
  2. Step 2: Convert to fraction form
    2,636.97/3,638.91 = 1,458.03/x
  3. Step 3: Cross multiply
    2,636.97x = 3,638.91 × 1,458.03
  4. Step 4: Simplify right side
    2,636.97x = 5,305,639.95
  5. Step 5: Solve for x
    x = 5,305,639.95/2,636.97
  6. Step 6: Final answer
    x = 2,012.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.