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Finding the Fourth Proportional to 2,148.73, 2,964.03 and 1,361.41

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Solution

The fourth proportional to 2,148.73, 2,964.03 and 1,361.41 is: 1,877.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.73 : 2,964.03 = 1,361.41 : x
  2. Step 2: Convert to fraction form
    2,148.73/2,964.03 = 1,361.41/x
  3. Step 3: Cross multiply
    2,148.73x = 2,964.03 × 1,361.41
  4. Step 4: Simplify right side
    2,148.73x = 4,035,260.08
  5. Step 5: Solve for x
    x = 4,035,260.08/2,148.73
  6. Step 6: Final answer
    x = 1,877.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.