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Finding the Fourth Proportional to 2,169.54, 3,254.31 and 630.54

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Solution

The fourth proportional to 2,169.54, 3,254.31 and 630.54 is: 945.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.54 : 3,254.31 = 630.54 : x
  2. Step 2: Convert to fraction form
    2,169.54/3,254.31 = 630.54/x
  3. Step 3: Cross multiply
    2,169.54x = 3,254.31 × 630.54
  4. Step 4: Simplify right side
    2,169.54x = 2,051,972.63
  5. Step 5: Solve for x
    x = 2,051,972.63/2,169.54
  6. Step 6: Final answer
    x = 945.81

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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.