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Finding the Fourth Proportional to 1,724.96, 2,586.90 and 629.12

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Solution

The fourth proportional to 1,724.96, 2,586.90 and 629.12 is: 943.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.96 : 2,586.90 = 629.12 : x
  2. Step 2: Convert to fraction form
    1,724.96/2,586.90 = 629.12/x
  3. Step 3: Cross multiply
    1,724.96x = 2,586.90 × 629.12
  4. Step 4: Simplify right side
    1,724.96x = 1,627,470.53
  5. Step 5: Solve for x
    x = 1,627,470.53/1,724.96
  6. Step 6: Final answer
    x = 943.48

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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.