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Finding the Fourth Proportional to 2,610.60, 3,604.41 and 1,824.90

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Solution

The fourth proportional to 2,610.60, 3,604.41 and 1,824.90 is: 2,519.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.60 : 3,604.41 = 1,824.90 : x
  2. Step 2: Convert to fraction form
    2,610.60/3,604.41 = 1,824.90/x
  3. Step 3: Cross multiply
    2,610.60x = 3,604.41 × 1,824.90
  4. Step 4: Simplify right side
    2,610.60x = 6,577,687.81
  5. Step 5: Solve for x
    x = 6,577,687.81/2,610.60
  6. Step 6: Final answer
    x = 2,519.61

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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.