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Finding the Fourth Proportional to 2,422.80, 3,336.06 and 1,826.16

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Solution

The fourth proportional to 2,422.80, 3,336.06 and 1,826.16 is: 2,514.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.80 : 3,336.06 = 1,826.16 : x
  2. Step 2: Convert to fraction form
    2,422.80/3,336.06 = 1,826.16/x
  3. Step 3: Cross multiply
    2,422.80x = 3,336.06 × 1,826.16
  4. Step 4: Simplify right side
    2,422.80x = 6,092,179.33
  5. Step 5: Solve for x
    x = 6,092,179.33/2,422.80
  6. Step 6: Final answer
    x = 2,514.52

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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.