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Finding the Fourth Proportional to 2,374.82, 3,562.28 and 1,452.23

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Solution

The fourth proportional to 2,374.82, 3,562.28 and 1,452.23 is: 2,178.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.82 : 3,562.28 = 1,452.23 : x
  2. Step 2: Convert to fraction form
    2,374.82/3,562.28 = 1,452.23/x
  3. Step 3: Cross multiply
    2,374.82x = 3,562.28 × 1,452.23
  4. Step 4: Simplify right side
    2,374.82x = 5,173,243.62
  5. Step 5: Solve for x
    x = 5,173,243.62/2,374.82
  6. Step 6: Final answer
    x = 2,178.37

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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.