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Finding the Fourth Proportional to 2,097.15, 2,894.23 and 1,257.89

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Solution

The fourth proportional to 2,097.15, 2,894.23 and 1,257.89 is: 1,735.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.15 : 2,894.23 = 1,257.89 : x
  2. Step 2: Convert to fraction form
    2,097.15/2,894.23 = 1,257.89/x
  3. Step 3: Cross multiply
    2,097.15x = 2,894.23 × 1,257.89
  4. Step 4: Simplify right side
    2,097.15x = 3,640,605.36
  5. Step 5: Solve for x
    x = 3,640,605.36/2,097.15
  6. Step 6: Final answer
    x = 1,735.98

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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.