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Finding the Fourth Proportional to 2,003.94, 2,766.42 and 1,554.80

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Solution

The fourth proportional to 2,003.94, 2,766.42 and 1,554.80 is: 2,146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.94 : 2,766.42 = 1,554.80 : x
  2. Step 2: Convert to fraction form
    2,003.94/2,766.42 = 1,554.80/x
  3. Step 3: Cross multiply
    2,003.94x = 2,766.42 × 1,554.80
  4. Step 4: Simplify right side
    2,003.94x = 4,301,229.82
  5. Step 5: Solve for x
    x = 4,301,229.82/2,003.94
  6. Step 6: Final answer
    x = 2,146.39

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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.