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Finding the Fourth Proportional to 2,563.80, 3,538.20 and 1,444.62

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Solution

The fourth proportional to 2,563.80, 3,538.20 and 1,444.62 is: 1,993.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.80 : 3,538.20 = 1,444.62 : x
  2. Step 2: Convert to fraction form
    2,563.80/3,538.20 = 1,444.62/x
  3. Step 3: Cross multiply
    2,563.80x = 3,538.20 × 1,444.62
  4. Step 4: Simplify right side
    2,563.80x = 5,111,354.48
  5. Step 5: Solve for x
    x = 5,111,354.48/2,563.80
  6. Step 6: Final answer
    x = 1,993.66

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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.