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Finding the Fourth Proportional to 2,178.65, 3,004.94 and 1,382.22

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Solution

The fourth proportional to 2,178.65, 3,004.94 and 1,382.22 is: 1,906.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.65 : 3,004.94 = 1,382.22 : x
  2. Step 2: Convert to fraction form
    2,178.65/3,004.94 = 1,382.22/x
  3. Step 3: Cross multiply
    2,178.65x = 3,004.94 × 1,382.22
  4. Step 4: Simplify right side
    2,178.65x = 4,153,481.26
  5. Step 5: Solve for x
    x = 4,153,481.26/2,178.65
  6. Step 6: Final answer
    x = 1,906.45

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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.