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Finding the Fourth Proportional to 1,424.10, 2,136.24 and 450.24

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Solution

The fourth proportional to 1,424.10, 2,136.24 and 450.24 is: 675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.10 : 2,136.24 = 450.24 : x
  2. Step 2: Convert to fraction form
    1,424.10/2,136.24 = 450.24/x
  3. Step 3: Cross multiply
    1,424.10x = 2,136.24 × 450.24
  4. Step 4: Simplify right side
    1,424.10x = 961,820.70
  5. Step 5: Solve for x
    x = 961,820.70/1,424.10
  6. Step 6: Final answer
    x = 675.39

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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.