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Finding the Fourth Proportional to 4,648.25, 6,973.02 and 1,361.58

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Solution

The fourth proportional to 4,648.25, 6,973.02 and 1,361.58 is: 2,042.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.25 : 6,973.02 = 1,361.58 : x
  2. Step 2: Convert to fraction form
    4,648.25/6,973.02 = 1,361.58/x
  3. Step 3: Cross multiply
    4,648.25x = 6,973.02 × 1,361.58
  4. Step 4: Simplify right side
    4,648.25x = 9,494,324.57
  5. Step 5: Solve for x
    x = 9,494,324.57/4,648.25
  6. Step 6: Final answer
    x = 2,042.56

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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.