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Finding the Fourth Proportional to 3,066.20, 4,600.20 and 1,310.28

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Solution

The fourth proportional to 3,066.20, 4,600.20 and 1,310.28 is: 1,965.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.20 : 4,600.20 = 1,310.28 : x
  2. Step 2: Convert to fraction form
    3,066.20/4,600.20 = 1,310.28/x
  3. Step 3: Cross multiply
    3,066.20x = 4,600.20 × 1,310.28
  4. Step 4: Simplify right side
    3,066.20x = 6,027,550.06
  5. Step 5: Solve for x
    x = 6,027,550.06/3,066.20
  6. Step 6: Final answer
    x = 1,965.80

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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.