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Finding the Fourth Proportional to 3,120.60, 4,686.30 and 1,662.60

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Solution

The fourth proportional to 3,120.60, 4,686.30 and 1,662.60 is: 2,496.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.60 : 4,686.30 = 1,662.60 : x
  2. Step 2: Convert to fraction form
    3,120.60/4,686.30 = 1,662.60/x
  3. Step 3: Cross multiply
    3,120.60x = 4,686.30 × 1,662.60
  4. Step 4: Simplify right side
    3,120.60x = 7,791,442.38
  5. Step 5: Solve for x
    x = 7,791,442.38/3,120.60
  6. Step 6: Final answer
    x = 2,496.78

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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.