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Finding the Fourth Proportional to 2,548.34, 3,820.08 and 815.78

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Solution

The fourth proportional to 2,548.34, 3,820.08 and 815.78 is: 1,222.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.34 : 3,820.08 = 815.78 : x
  2. Step 2: Convert to fraction form
    2,548.34/3,820.08 = 815.78/x
  3. Step 3: Cross multiply
    2,548.34x = 3,820.08 × 815.78
  4. Step 4: Simplify right side
    2,548.34x = 3,116,344.86
  5. Step 5: Solve for x
    x = 3,116,344.86/2,548.34
  6. Step 6: Final answer
    x = 1,222.89

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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.