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Finding the Fourth Proportional to 1,840.94, 2,540.43 and 1,001.63

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Solution

The fourth proportional to 1,840.94, 2,540.43 and 1,001.63 is: 1,382.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.94 : 2,540.43 = 1,001.63 : x
  2. Step 2: Convert to fraction form
    1,840.94/2,540.43 = 1,001.63/x
  3. Step 3: Cross multiply
    1,840.94x = 2,540.43 × 1,001.63
  4. Step 4: Simplify right side
    1,840.94x = 2,544,570.90
  5. Step 5: Solve for x
    x = 2,544,570.90/1,840.94
  6. Step 6: Final answer
    x = 1,382.21

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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.