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Finding the Fourth Proportional to 1,452.50, 2,012.90 and 1,424.80

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Solution

The fourth proportional to 1,452.50, 2,012.90 and 1,424.80 is: 1,974.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.50 : 2,012.90 = 1,424.80 : x
  2. Step 2: Convert to fraction form
    1,452.50/2,012.90 = 1,424.80/x
  3. Step 3: Cross multiply
    1,452.50x = 2,012.90 × 1,424.80
  4. Step 4: Simplify right side
    1,452.50x = 2,867,975.31
  5. Step 5: Solve for x
    x = 2,867,975.31/1,452.50
  6. Step 6: Final answer
    x = 1,974.51

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.