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Finding the Fourth Proportional to 1,382.70, 2,084.40 and 1,291.04

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Solution

The fourth proportional to 1,382.70, 2,084.40 and 1,291.04 is: 1,946.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.70 : 2,084.40 = 1,291.04 : x
  2. Step 2: Convert to fraction form
    1,382.70/2,084.40 = 1,291.04/x
  3. Step 3: Cross multiply
    1,382.70x = 2,084.40 × 1,291.04
  4. Step 4: Simplify right side
    1,382.70x = 2,691,033.35
  5. Step 5: Solve for x
    x = 2,691,033.35/1,382.70
  6. Step 6: Final answer
    x = 1,946.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.