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Finding the Fourth Proportional to 2,643.68, 3,650.20 and 1,761.32

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Solution

The fourth proportional to 2,643.68, 3,650.20 and 1,761.32 is: 2,431.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.68 : 3,650.20 = 1,761.32 : x
  2. Step 2: Convert to fraction form
    2,643.68/3,650.20 = 1,761.32/x
  3. Step 3: Cross multiply
    2,643.68x = 3,650.20 × 1,761.32
  4. Step 4: Simplify right side
    2,643.68x = 6,429,170.26
  5. Step 5: Solve for x
    x = 6,429,170.26/2,643.68
  6. Step 6: Final answer
    x = 2,431.90

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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.