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Finding the Fourth Proportional to 2,143.83, 2,947.14 and 1,843.98

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Solution

The fourth proportional to 2,143.83, 2,947.14 and 1,843.98 is: 2,534.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.83 : 2,947.14 = 1,843.98 : x
  2. Step 2: Convert to fraction form
    2,143.83/2,947.14 = 1,843.98/x
  3. Step 3: Cross multiply
    2,143.83x = 2,947.14 × 1,843.98
  4. Step 4: Simplify right side
    2,143.83x = 5,434,467.22
  5. Step 5: Solve for x
    x = 5,434,467.22/2,143.83
  6. Step 6: Final answer
    x = 2,534.93

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.