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Finding the Fourth Proportional to 2,832.80, 4,245.09 and 1,597.58

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Solution

The fourth proportional to 2,832.80, 4,245.09 and 1,597.58 is: 2,394.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.80 : 4,245.09 = 1,597.58 : x
  2. Step 2: Convert to fraction form
    2,832.80/4,245.09 = 1,597.58/x
  3. Step 3: Cross multiply
    2,832.80x = 4,245.09 × 1,597.58
  4. Step 4: Simplify right side
    2,832.80x = 6,781,870.88
  5. Step 5: Solve for x
    x = 6,781,870.88/2,832.80
  6. Step 6: Final answer
    x = 2,394.05

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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.