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Finding the Fourth Proportional to 2,543.56, 3,808.86 and 1,675.24

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Solution

The fourth proportional to 2,543.56, 3,808.86 and 1,675.24 is: 2,508.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.56 : 3,808.86 = 1,675.24 : x
  2. Step 2: Convert to fraction form
    2,543.56/3,808.86 = 1,675.24/x
  3. Step 3: Cross multiply
    2,543.56x = 3,808.86 × 1,675.24
  4. Step 4: Simplify right side
    2,543.56x = 6,380,754.63
  5. Step 5: Solve for x
    x = 6,380,754.63/2,543.56
  6. Step 6: Final answer
    x = 2,508.59

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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.