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Finding the Fourth Proportional to 3,290.21, 4,540.52 and 1,798.10

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Solution

The fourth proportional to 3,290.21, 4,540.52 and 1,798.10 is: 2,481.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.21 : 4,540.52 = 1,798.10 : x
  2. Step 2: Convert to fraction form
    3,290.21/4,540.52 = 1,798.10/x
  3. Step 3: Cross multiply
    3,290.21x = 4,540.52 × 1,798.10
  4. Step 4: Simplify right side
    3,290.21x = 8,164,309.01
  5. Step 5: Solve for x
    x = 8,164,309.01/3,290.21
  6. Step 6: Final answer
    x = 2,481.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.