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Finding the Fourth Proportional to 1,843.47, 2,542.59 and 1,179.81

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Solution

The fourth proportional to 1,843.47, 2,542.59 and 1,179.81 is: 1,627.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.47 : 2,542.59 = 1,179.81 : x
  2. Step 2: Convert to fraction form
    1,843.47/2,542.59 = 1,179.81/x
  3. Step 3: Cross multiply
    1,843.47x = 2,542.59 × 1,179.81
  4. Step 4: Simplify right side
    1,843.47x = 2,999,773.11
  5. Step 5: Solve for x
    x = 2,999,773.11/1,843.47
  6. Step 6: Final answer
    x = 1,627.24

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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.