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Finding the Fourth Proportional to 2,041.80, 2,832.21 and 1,895.88

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Solution

The fourth proportional to 2,041.80, 2,832.21 and 1,895.88 is: 2,629.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.80 : 2,832.21 = 1,895.88 : x
  2. Step 2: Convert to fraction form
    2,041.80/2,832.21 = 1,895.88/x
  3. Step 3: Cross multiply
    2,041.80x = 2,832.21 × 1,895.88
  4. Step 4: Simplify right side
    2,041.80x = 5,369,530.29
  5. Step 5: Solve for x
    x = 5,369,530.29/2,041.80
  6. Step 6: Final answer
    x = 2,629.80

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.