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Finding the Fourth Proportional to 2,843.30, 4,262.04 and 993.12

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Solution

The fourth proportional to 2,843.30, 4,262.04 and 993.12 is: 1,488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.30 : 4,262.04 = 993.12 : x
  2. Step 2: Convert to fraction form
    2,843.30/4,262.04 = 993.12/x
  3. Step 3: Cross multiply
    2,843.30x = 4,262.04 × 993.12
  4. Step 4: Simplify right side
    2,843.30x = 4,232,717.16
  5. Step 5: Solve for x
    x = 4,232,717.16/2,843.30
  6. Step 6: Final answer
    x = 1,488.67

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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.