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Finding the Fourth Proportional to 2,250.66, 3,105.62 and 1,306.31

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Solution

The fourth proportional to 2,250.66, 3,105.62 and 1,306.31 is: 1,802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250.66 : 3,105.62 = 1,306.31 : x
  2. Step 2: Convert to fraction form
    2,250.66/3,105.62 = 1,306.31/x
  3. Step 3: Cross multiply
    2,250.66x = 3,105.62 × 1,306.31
  4. Step 4: Simplify right side
    2,250.66x = 4,056,880.40
  5. Step 5: Solve for x
    x = 4,056,880.40/2,250.66
  6. Step 6: Final answer
    x = 1,802.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.