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Finding the Fourth Proportional to 2,097.07, 2,893.12 and 1,257.80

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Solution

The fourth proportional to 2,097.07, 2,893.12 and 1,257.80 is: 1,735.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.07 : 2,893.12 = 1,257.80 : x
  2. Step 2: Convert to fraction form
    2,097.07/2,893.12 = 1,257.80/x
  3. Step 3: Cross multiply
    2,097.07x = 2,893.12 × 1,257.80
  4. Step 4: Simplify right side
    2,097.07x = 3,638,948.73
  5. Step 5: Solve for x
    x = 3,638,948.73/2,097.07
  6. Step 6: Final answer
    x = 1,735.26

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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.