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Finding the Fourth Proportional to 2,570.25, 3,543.42 and 1,625.58

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Solution

The fourth proportional to 2,570.25, 3,543.42 and 1,625.58 is: 2,241.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.25 : 3,543.42 = 1,625.58 : x
  2. Step 2: Convert to fraction form
    2,570.25/3,543.42 = 1,625.58/x
  3. Step 3: Cross multiply
    2,570.25x = 3,543.42 × 1,625.58
  4. Step 4: Simplify right side
    2,570.25x = 5,760,112.68
  5. Step 5: Solve for x
    x = 5,760,112.68/2,570.25
  6. Step 6: Final answer
    x = 2,241.07

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