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Finding the Fourth Proportional to 1,424, 2,136.08 and 398.08

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Solution

The fourth proportional to 1,424, 2,136.08 and 398.08 is: 597.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424 : 2,136.08 = 398.08 : x
  2. Step 2: Convert to fraction form
    1,424/2,136.08 = 398.08/x
  3. Step 3: Cross multiply
    1,424x = 2,136.08 × 398.08
  4. Step 4: Simplify right side
    1,424x = 850,330.73
  5. Step 5: Solve for x
    x = 850,330.73/1,424
  6. Step 6: Final answer
    x = 597.14

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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.