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Finding the Fourth Proportional to 6,162.82, 9,242.88 and 1,780.18

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Solution

The fourth proportional to 6,162.82, 9,242.88 and 1,780.18 is: 2,669.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162.82 : 9,242.88 = 1,780.18 : x
  2. Step 2: Convert to fraction form
    6,162.82/9,242.88 = 1,780.18/x
  3. Step 3: Cross multiply
    6,162.82x = 9,242.88 × 1,780.18
  4. Step 4: Simplify right side
    6,162.82x = 16,453,990.12
  5. Step 5: Solve for x
    x = 16,453,990.12/6,162.82
  6. Step 6: Final answer
    x = 2,669.88

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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.