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Finding the Fourth Proportional to 2,594.44, 3,577.80 and 2,096.74

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Solution

The fourth proportional to 2,594.44, 3,577.80 and 2,096.74 is: 2,891.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.44 : 3,577.80 = 2,096.74 : x
  2. Step 2: Convert to fraction form
    2,594.44/3,577.80 = 2,096.74/x
  3. Step 3: Cross multiply
    2,594.44x = 3,577.80 × 2,096.74
  4. Step 4: Simplify right side
    2,594.44x = 7,501,716.37
  5. Step 5: Solve for x
    x = 7,501,716.37/2,594.44
  6. Step 6: Final answer
    x = 2,891.46

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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.