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Finding the Fourth Proportional to 3,121.57, 4,683.25 and 1,042.94

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Solution

The fourth proportional to 3,121.57, 4,683.25 and 1,042.94 is: 1,564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.57 : 4,683.25 = 1,042.94 : x
  2. Step 2: Convert to fraction form
    3,121.57/4,683.25 = 1,042.94/x
  3. Step 3: Cross multiply
    3,121.57x = 4,683.25 × 1,042.94
  4. Step 4: Simplify right side
    3,121.57x = 4,884,361.77
  5. Step 5: Solve for x
    x = 4,884,361.77/3,121.57
  6. Step 6: Final answer
    x = 1,564.71

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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.