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Finding the Fourth Proportional to 2,563.96, 3,538.20 and 1,444.88

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Solution

The fourth proportional to 2,563.96, 3,538.20 and 1,444.88 is: 1,993.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.96 : 3,538.20 = 1,444.88 : x
  2. Step 2: Convert to fraction form
    2,563.96/3,538.20 = 1,444.88/x
  3. Step 3: Cross multiply
    2,563.96x = 3,538.20 × 1,444.88
  4. Step 4: Simplify right side
    2,563.96x = 5,112,274.42
  5. Step 5: Solve for x
    x = 5,112,274.42/2,563.96
  6. Step 6: Final answer
    x = 1,993.90

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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.