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Finding the Fourth Proportional to 2,841.99, 4,263.70 and 993.14

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Solution

The fourth proportional to 2,841.99, 4,263.70 and 993.14 is: 1,489.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.99 : 4,263.70 = 993.14 : x
  2. Step 2: Convert to fraction form
    2,841.99/4,263.70 = 993.14/x
  3. Step 3: Cross multiply
    2,841.99x = 4,263.70 × 993.14
  4. Step 4: Simplify right side
    2,841.99x = 4,234,451.02
  5. Step 5: Solve for x
    x = 4,234,451.02/2,841.99
  6. Step 6: Final answer
    x = 1,489.96

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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.