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Finding the Fourth Proportional to 2,452.51, 3,678.37 and 892.45

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Solution

The fourth proportional to 2,452.51, 3,678.37 and 892.45 is: 1,338.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.51 : 3,678.37 = 892.45 : x
  2. Step 2: Convert to fraction form
    2,452.51/3,678.37 = 892.45/x
  3. Step 3: Cross multiply
    2,452.51x = 3,678.37 × 892.45
  4. Step 4: Simplify right side
    2,452.51x = 3,282,761.31
  5. Step 5: Solve for x
    x = 3,282,761.31/2,452.51
  6. Step 6: Final answer
    x = 1,338.53

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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.