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Finding the Fourth Proportional to 2,478.21, 3,717.34 and 629.28

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Solution

The fourth proportional to 2,478.21, 3,717.34 and 629.28 is: 943.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.21 : 3,717.34 = 629.28 : x
  2. Step 2: Convert to fraction form
    2,478.21/3,717.34 = 629.28/x
  3. Step 3: Cross multiply
    2,478.21x = 3,717.34 × 629.28
  4. Step 4: Simplify right side
    2,478.21x = 2,339,247.72
  5. Step 5: Solve for x
    x = 2,339,247.72/2,478.21
  6. Step 6: Final answer
    x = 943.93

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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.