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Finding the Fourth Proportional to 2,420.78, 3,629.92 and 1,186.34

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Solution

The fourth proportional to 2,420.78, 3,629.92 and 1,186.34 is: 1,778.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.78 : 3,629.92 = 1,186.34 : x
  2. Step 2: Convert to fraction form
    2,420.78/3,629.92 = 1,186.34/x
  3. Step 3: Cross multiply
    2,420.78x = 3,629.92 × 1,186.34
  4. Step 4: Simplify right side
    2,420.78x = 4,306,319.29
  5. Step 5: Solve for x
    x = 4,306,319.29/2,420.78
  6. Step 6: Final answer
    x = 1,778.90

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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.