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Finding the Fourth Proportional to 3,106.66, 4,659.44 and 1,026.70

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Solution

The fourth proportional to 3,106.66, 4,659.44 and 1,026.70 is: 1,539.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.66 : 4,659.44 = 1,026.70 : x
  2. Step 2: Convert to fraction form
    3,106.66/4,659.44 = 1,026.70/x
  3. Step 3: Cross multiply
    3,106.66x = 4,659.44 × 1,026.70
  4. Step 4: Simplify right side
    3,106.66x = 4,783,847.05
  5. Step 5: Solve for x
    x = 4,783,847.05/3,106.66
  6. Step 6: Final answer
    x = 1,539.87

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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.