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Finding the Fourth Proportional to 1,424.14, 2,136.12 and 450.16

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Solution

The fourth proportional to 1,424.14, 2,136.12 and 450.16 is: 675.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.14 : 2,136.12 = 450.16 : x
  2. Step 2: Convert to fraction form
    1,424.14/2,136.12 = 450.16/x
  3. Step 3: Cross multiply
    1,424.14x = 2,136.12 × 450.16
  4. Step 4: Simplify right side
    1,424.14x = 961,595.78
  5. Step 5: Solve for x
    x = 961,595.78/1,424.14
  6. Step 6: Final answer
    x = 675.21

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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.