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Finding the Fourth Proportional to 1,843.90, 2,543.50 and 1,180.51

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Solution

The fourth proportional to 1,843.90, 2,543.50 and 1,180.51 is: 1,628.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.90 : 2,543.50 = 1,180.51 : x
  2. Step 2: Convert to fraction form
    1,843.90/2,543.50 = 1,180.51/x
  3. Step 3: Cross multiply
    1,843.90x = 2,543.50 × 1,180.51
  4. Step 4: Simplify right side
    1,843.90x = 3,002,627.19
  5. Step 5: Solve for x
    x = 3,002,627.19/1,843.90
  6. Step 6: Final answer
    x = 1,628.41

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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.