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Finding the Fourth Proportional to 2,185.90, 3,014.21 and 1,625.45

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Solution

The fourth proportional to 2,185.90, 3,014.21 and 1,625.45 is: 2,241.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.90 : 3,014.21 = 1,625.45 : x
  2. Step 2: Convert to fraction form
    2,185.90/3,014.21 = 1,625.45/x
  3. Step 3: Cross multiply
    2,185.90x = 3,014.21 × 1,625.45
  4. Step 4: Simplify right side
    2,185.90x = 4,899,436.64
  5. Step 5: Solve for x
    x = 4,899,436.64/2,185.90
  6. Step 6: Final answer
    x = 2,241.38

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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.