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Finding the Fourth Proportional to 2,577.81, 3,563.96 and 1,951.62

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Solution

The fourth proportional to 2,577.81, 3,563.96 and 1,951.62 is: 2,698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.81 : 3,563.96 = 1,951.62 : x
  2. Step 2: Convert to fraction form
    2,577.81/3,563.96 = 1,951.62/x
  3. Step 3: Cross multiply
    2,577.81x = 3,563.96 × 1,951.62
  4. Step 4: Simplify right side
    2,577.81x = 6,955,485.86
  5. Step 5: Solve for x
    x = 6,955,485.86/2,577.81
  6. Step 6: Final answer
    x = 2,698.22

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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.