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Finding the Fourth Proportional to 2,644.79, 3,967.02 and 795.86

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Solution

The fourth proportional to 2,644.79, 3,967.02 and 795.86 is: 1,193.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.79 : 3,967.02 = 795.86 : x
  2. Step 2: Convert to fraction form
    2,644.79/3,967.02 = 795.86/x
  3. Step 3: Cross multiply
    2,644.79x = 3,967.02 × 795.86
  4. Step 4: Simplify right side
    2,644.79x = 3,157,172.70
  5. Step 5: Solve for x
    x = 3,157,172.70/2,644.79
  6. Step 6: Final answer
    x = 1,193.74

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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.