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Finding the Fourth Proportional to 2,162.07, 3,243.34 and 623.19

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Solution

The fourth proportional to 2,162.07, 3,243.34 and 623.19 is: 934.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.07 : 3,243.34 = 623.19 : x
  2. Step 2: Convert to fraction form
    2,162.07/3,243.34 = 623.19/x
  3. Step 3: Cross multiply
    2,162.07x = 3,243.34 × 623.19
  4. Step 4: Simplify right side
    2,162.07x = 2,021,199.28
  5. Step 5: Solve for x
    x = 2,021,199.28/2,162.07
  6. Step 6: Final answer
    x = 934.85

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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.