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Finding the Fourth Proportional to 2,097.89, 3,146.68 and 848.57

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Solution

The fourth proportional to 2,097.89, 3,146.68 and 848.57 is: 1,272.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.89 : 3,146.68 = 848.57 : x
  2. Step 2: Convert to fraction form
    2,097.89/3,146.68 = 848.57/x
  3. Step 3: Cross multiply
    2,097.89x = 3,146.68 × 848.57
  4. Step 4: Simplify right side
    2,097.89x = 2,670,178.25
  5. Step 5: Solve for x
    x = 2,670,178.25/2,097.89
  6. Step 6: Final answer
    x = 1,272.79

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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.