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Finding the Fourth Proportional to 3,106.60, 4,665.30 and 2,188.60

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Solution

The fourth proportional to 3,106.60, 4,665.30 and 2,188.60 is: 3,286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.60 : 4,665.30 = 2,188.60 : x
  2. Step 2: Convert to fraction form
    3,106.60/4,665.30 = 2,188.60/x
  3. Step 3: Cross multiply
    3,106.60x = 4,665.30 × 2,188.60
  4. Step 4: Simplify right side
    3,106.60x = 10,210,475.58
  5. Step 5: Solve for x
    x = 10,210,475.58/3,106.60
  6. Step 6: Final answer
    x = 3,286.70

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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.