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Finding the Fourth Proportional to 4,074.84, 6,112.22 and 1,610.80

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Solution

The fourth proportional to 4,074.84, 6,112.22 and 1,610.80 is: 2,416.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.84 : 6,112.22 = 1,610.80 : x
  2. Step 2: Convert to fraction form
    4,074.84/6,112.22 = 1,610.80/x
  3. Step 3: Cross multiply
    4,074.84x = 6,112.22 × 1,610.80
  4. Step 4: Simplify right side
    4,074.84x = 9,845,563.98
  5. Step 5: Solve for x
    x = 9,845,563.98/4,074.84
  6. Step 6: Final answer
    x = 2,416.18

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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.