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Finding the Fourth Proportional to 2,549.19, 3,824.33 and 794.15

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Solution

The fourth proportional to 2,549.19, 3,824.33 and 794.15 is: 1,191.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.19 : 3,824.33 = 794.15 : x
  2. Step 2: Convert to fraction form
    2,549.19/3,824.33 = 794.15/x
  3. Step 3: Cross multiply
    2,549.19x = 3,824.33 × 794.15
  4. Step 4: Simplify right side
    2,549.19x = 3,037,091.67
  5. Step 5: Solve for x
    x = 3,037,091.67/2,549.19
  6. Step 6: Final answer
    x = 1,191.39

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