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Finding the Fourth Proportional to 2,555.64, 3,527.77 and 1,967.88

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Solution

The fourth proportional to 2,555.64, 3,527.77 and 1,967.88 is: 2,716.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555.64 : 3,527.77 = 1,967.88 : x
  2. Step 2: Convert to fraction form
    2,555.64/3,527.77 = 1,967.88/x
  3. Step 3: Cross multiply
    2,555.64x = 3,527.77 × 1,967.88
  4. Step 4: Simplify right side
    2,555.64x = 6,942,228.03
  5. Step 5: Solve for x
    x = 6,942,228.03/2,555.64
  6. Step 6: Final answer
    x = 2,716.43

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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.