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Finding the Fourth Proportional to 2,830.97, 4,244.81 and 1,097.57

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Solution

The fourth proportional to 2,830.97, 4,244.81 and 1,097.57 is: 1,645.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.97 : 4,244.81 = 1,097.57 : x
  2. Step 2: Convert to fraction form
    2,830.97/4,244.81 = 1,097.57/x
  3. Step 3: Cross multiply
    2,830.97x = 4,244.81 × 1,097.57
  4. Step 4: Simplify right side
    2,830.97x = 4,658,957.63
  5. Step 5: Solve for x
    x = 4,658,957.63/2,830.97
  6. Step 6: Final answer
    x = 1,645.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.