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Finding the Fourth Proportional to 3,021.29, 4,532.44 and 940.81

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Solution

The fourth proportional to 3,021.29, 4,532.44 and 940.81 is: 1,411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.29 : 4,532.44 = 940.81 : x
  2. Step 2: Convert to fraction form
    3,021.29/4,532.44 = 940.81/x
  3. Step 3: Cross multiply
    3,021.29x = 4,532.44 × 940.81
  4. Step 4: Simplify right side
    3,021.29x = 4,264,142.21
  5. Step 5: Solve for x
    x = 4,264,142.21/3,021.29
  6. Step 6: Final answer
    x = 1,411.36

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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.