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Finding the Fourth Proportional to 2,161.96, 3,243.50 and 623.08

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Solution

The fourth proportional to 2,161.96, 3,243.50 and 623.08 is: 934.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.96 : 3,243.50 = 623.08 : x
  2. Step 2: Convert to fraction form
    2,161.96/3,243.50 = 623.08/x
  3. Step 3: Cross multiply
    2,161.96x = 3,243.50 × 623.08
  4. Step 4: Simplify right side
    2,161.96x = 2,020,959.98
  5. Step 5: Solve for x
    x = 2,020,959.98/2,161.96
  6. Step 6: Final answer
    x = 934.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.