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Finding the Fourth Proportional to 1,382.28, 1,899.75 and 1,343.40

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Solution

The fourth proportional to 1,382.28, 1,899.75 and 1,343.40 is: 1,846.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.28 : 1,899.75 = 1,343.40 : x
  2. Step 2: Convert to fraction form
    1,382.28/1,899.75 = 1,343.40/x
  3. Step 3: Cross multiply
    1,382.28x = 1,899.75 × 1,343.40
  4. Step 4: Simplify right side
    1,382.28x = 2,552,124.15
  5. Step 5: Solve for x
    x = 2,552,124.15/1,382.28
  6. Step 6: Final answer
    x = 1,846.31

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.