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Finding the Fourth Proportional to 3,091.62, 4,633.30 and 2,678.83

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Solution

The fourth proportional to 3,091.62, 4,633.30 and 2,678.83 is: 4,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.62 : 4,633.30 = 2,678.83 : x
  2. Step 2: Convert to fraction form
    3,091.62/4,633.30 = 2,678.83/x
  3. Step 3: Cross multiply
    3,091.62x = 4,633.30 × 2,678.83
  4. Step 4: Simplify right side
    3,091.62x = 12,411,823.04
  5. Step 5: Solve for x
    x = 12,411,823.04/3,091.62
  6. Step 6: Final answer
    x = 4,014.67

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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.