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Finding the Fourth Proportional to 2,086.80, 3,128.40 and 1,264.20

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Solution

The fourth proportional to 2,086.80, 3,128.40 and 1,264.20 is: 1,895.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.80 : 3,128.40 = 1,264.20 : x
  2. Step 2: Convert to fraction form
    2,086.80/3,128.40 = 1,264.20/x
  3. Step 3: Cross multiply
    2,086.80x = 3,128.40 × 1,264.20
  4. Step 4: Simplify right side
    2,086.80x = 3,954,923.28
  5. Step 5: Solve for x
    x = 3,954,923.28/2,086.80
  6. Step 6: Final answer
    x = 1,895.21

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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.