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Finding the Fourth Proportional to 2,548.95, 3,823.22 and 793.90

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Solution

The fourth proportional to 2,548.95, 3,823.22 and 793.90 is: 1,190.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.95 : 3,823.22 = 793.90 : x
  2. Step 2: Convert to fraction form
    2,548.95/3,823.22 = 793.90/x
  3. Step 3: Cross multiply
    2,548.95x = 3,823.22 × 793.90
  4. Step 4: Simplify right side
    2,548.95x = 3,035,254.36
  5. Step 5: Solve for x
    x = 3,035,254.36/2,548.95
  6. Step 6: Final answer
    x = 1,190.79

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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.