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Finding the Fourth Proportional to 2,452.34, 3,678.72 and 2,119.94

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Solution

The fourth proportional to 2,452.34, 3,678.72 and 2,119.94 is: 3,180.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.34 : 3,678.72 = 2,119.94 : x
  2. Step 2: Convert to fraction form
    2,452.34/3,678.72 = 2,119.94/x
  3. Step 3: Cross multiply
    2,452.34x = 3,678.72 × 2,119.94
  4. Step 4: Simplify right side
    2,452.34x = 7,798,665.68
  5. Step 5: Solve for x
    x = 7,798,665.68/2,452.34
  6. Step 6: Final answer
    x = 3,180.09

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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.