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Finding the Fourth Proportional to 2,982.30, 4,115.22 and 1,655.82

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Solution

The fourth proportional to 2,982.30, 4,115.22 and 1,655.82 is: 2,284.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.30 : 4,115.22 = 1,655.82 : x
  2. Step 2: Convert to fraction form
    2,982.30/4,115.22 = 1,655.82/x
  3. Step 3: Cross multiply
    2,982.30x = 4,115.22 × 1,655.82
  4. Step 4: Simplify right side
    2,982.30x = 6,814,063.58
  5. Step 5: Solve for x
    x = 6,814,063.58/2,982.30
  6. Step 6: Final answer
    x = 2,284.84

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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.