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Finding the Fourth Proportional to 2,803.71, 4,198.28 and 1,498.80

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Solution

The fourth proportional to 2,803.71, 4,198.28 and 1,498.80 is: 2,244.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.71 : 4,198.28 = 1,498.80 : x
  2. Step 2: Convert to fraction form
    2,803.71/4,198.28 = 1,498.80/x
  3. Step 3: Cross multiply
    2,803.71x = 4,198.28 × 1,498.80
  4. Step 4: Simplify right side
    2,803.71x = 6,292,382.06
  5. Step 5: Solve for x
    x = 6,292,382.06/2,803.71
  6. Step 6: Final answer
    x = 2,244.31

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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.