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Finding the Fourth Proportional to 2,644.84, 3,967.26 and 912.52

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Solution

The fourth proportional to 2,644.84, 3,967.26 and 912.52 is: 1,368.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.84 : 3,967.26 = 912.52 : x
  2. Step 2: Convert to fraction form
    2,644.84/3,967.26 = 912.52/x
  3. Step 3: Cross multiply
    2,644.84x = 3,967.26 × 912.52
  4. Step 4: Simplify right side
    2,644.84x = 3,620,204.10
  5. Step 5: Solve for x
    x = 3,620,204.10/2,644.84
  6. Step 6: Final answer
    x = 1,368.78

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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.