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Finding the Fourth Proportional to 2,041.36, 3,057 and 1,641.22

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Solution

The fourth proportional to 2,041.36, 3,057 and 1,641.22 is: 2,457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.36 : 3,057 = 1,641.22 : x
  2. Step 2: Convert to fraction form
    2,041.36/3,057 = 1,641.22/x
  3. Step 3: Cross multiply
    2,041.36x = 3,057 × 1,641.22
  4. Step 4: Simplify right side
    2,041.36x = 5,017,209.54
  5. Step 5: Solve for x
    x = 5,017,209.54/2,041.36
  6. Step 6: Final answer
    x = 2,457.78

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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.