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Finding the Fourth Proportional to 1,629.53, 2,444.29 and 396.94

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Solution

The fourth proportional to 1,629.53, 2,444.29 and 396.94 is: 595.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.53 : 2,444.29 = 396.94 : x
  2. Step 2: Convert to fraction form
    1,629.53/2,444.29 = 396.94/x
  3. Step 3: Cross multiply
    1,629.53x = 2,444.29 × 396.94
  4. Step 4: Simplify right side
    1,629.53x = 970,224.25
  5. Step 5: Solve for x
    x = 970,224.25/1,629.53
  6. Step 6: Final answer
    x = 595.40

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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.