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Finding the Fourth Proportional to 2,894.73, 3,994.80 and 1,775.02

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Solution

The fourth proportional to 2,894.73, 3,994.80 and 1,775.02 is: 2,449.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.73 : 3,994.80 = 1,775.02 : x
  2. Step 2: Convert to fraction form
    2,894.73/3,994.80 = 1,775.02/x
  3. Step 3: Cross multiply
    2,894.73x = 3,994.80 × 1,775.02
  4. Step 4: Simplify right side
    2,894.73x = 7,090,843.24
  5. Step 5: Solve for x
    x = 7,090,843.24/2,894.73
  6. Step 6: Final answer
    x = 2,449.57

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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.