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Finding the Fourth Proportional to 2,583.45, 3,871.38 and 1,543.68

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Solution

The fourth proportional to 2,583.45, 3,871.38 and 1,543.68 is: 2,313.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.45 : 3,871.38 = 1,543.68 : x
  2. Step 2: Convert to fraction form
    2,583.45/3,871.38 = 1,543.68/x
  3. Step 3: Cross multiply
    2,583.45x = 3,871.38 × 1,543.68
  4. Step 4: Simplify right side
    2,583.45x = 5,976,171.88
  5. Step 5: Solve for x
    x = 5,976,171.88/2,583.45
  6. Step 6: Final answer
    x = 2,313.25

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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.