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Finding the Fourth Proportional to 2,097.58, 2,894.73 and 1,153.33

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Solution

The fourth proportional to 2,097.58, 2,894.73 and 1,153.33 is: 1,591.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.58 : 2,894.73 = 1,153.33 : x
  2. Step 2: Convert to fraction form
    2,097.58/2,894.73 = 1,153.33/x
  3. Step 3: Cross multiply
    2,097.58x = 2,894.73 × 1,153.33
  4. Step 4: Simplify right side
    2,097.58x = 3,338,564.12
  5. Step 5: Solve for x
    x = 3,338,564.12/2,097.58
  6. Step 6: Final answer
    x = 1,591.62

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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.