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Finding the Fourth Proportional to 3,462.03, 4,777.22 and 1,969.80

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Solution

The fourth proportional to 3,462.03, 4,777.22 and 1,969.80 is: 2,718.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.03 : 4,777.22 = 1,969.80 : x
  2. Step 2: Convert to fraction form
    3,462.03/4,777.22 = 1,969.80/x
  3. Step 3: Cross multiply
    3,462.03x = 4,777.22 × 1,969.80
  4. Step 4: Simplify right side
    3,462.03x = 9,410,158.11
  5. Step 5: Solve for x
    x = 9,410,158.11/3,462.03
  6. Step 6: Final answer
    x = 2,718.10

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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.