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Finding the Fourth Proportional to 3,022.44, 4,534.14 and 1,869.48

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Solution

The fourth proportional to 3,022.44, 4,534.14 and 1,869.48 is: 2,804.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.44 : 4,534.14 = 1,869.48 : x
  2. Step 2: Convert to fraction form
    3,022.44/4,534.14 = 1,869.48/x
  3. Step 3: Cross multiply
    3,022.44x = 4,534.14 × 1,869.48
  4. Step 4: Simplify right side
    3,022.44x = 8,476,484.05
  5. Step 5: Solve for x
    x = 8,476,484.05/3,022.44
  6. Step 6: Final answer
    x = 2,804.52

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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.