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Finding the Fourth Proportional to 1,205.94, 1,807.26 and 1,086.06

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Solution

The fourth proportional to 1,205.94, 1,807.26 and 1,086.06 is: 1,627.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.94 : 1,807.26 = 1,086.06 : x
  2. Step 2: Convert to fraction form
    1,205.94/1,807.26 = 1,086.06/x
  3. Step 3: Cross multiply
    1,205.94x = 1,807.26 × 1,086.06
  4. Step 4: Simplify right side
    1,205.94x = 1,962,792.80
  5. Step 5: Solve for x
    x = 1,962,792.80/1,205.94
  6. Step 6: Final answer
    x = 1,627.60

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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.