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Finding the Fourth Proportional to 4,198.40, 6,292.74 and 1,857.68

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Solution

The fourth proportional to 4,198.40, 6,292.74 and 1,857.68 is: 2,784.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.40 : 6,292.74 = 1,857.68 : x
  2. Step 2: Convert to fraction form
    4,198.40/6,292.74 = 1,857.68/x
  3. Step 3: Cross multiply
    4,198.40x = 6,292.74 × 1,857.68
  4. Step 4: Simplify right side
    4,198.40x = 11,689,897.24
  5. Step 5: Solve for x
    x = 11,689,897.24/4,198.40
  6. Step 6: Final answer
    x = 2,784.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.