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Finding the Fourth Proportional to 2,169.59, 2,990.52 and 1,382.27

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Solution

The fourth proportional to 2,169.59, 2,990.52 and 1,382.27 is: 1,905.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.59 : 2,990.52 = 1,382.27 : x
  2. Step 2: Convert to fraction form
    2,169.59/2,990.52 = 1,382.27/x
  3. Step 3: Cross multiply
    2,169.59x = 2,990.52 × 1,382.27
  4. Step 4: Simplify right side
    2,169.59x = 4,133,691.13
  5. Step 5: Solve for x
    x = 4,133,691.13/2,169.59
  6. Step 6: Final answer
    x = 1,905.29

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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.