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Finding the Fourth Proportional to 4,648.89, 6,974.00 and 1,361.54

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Solution

The fourth proportional to 4,648.89, 6,974.00 and 1,361.54 is: 2,042.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.89 : 6,974.00 = 1,361.54 : x
  2. Step 2: Convert to fraction form
    4,648.89/6,974.00 = 1,361.54/x
  3. Step 3: Cross multiply
    4,648.89x = 6,974.00 × 1,361.54
  4. Step 4: Simplify right side
    4,648.89x = 9,495,395.69
  5. Step 5: Solve for x
    x = 9,495,395.69/4,648.89
  6. Step 6: Final answer
    x = 2,042.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.