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Finding the Fourth Proportional to 1,842.24, 2,540.20 and 1,696.40

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Solution

The fourth proportional to 1,842.24, 2,540.20 and 1,696.40 is: 2,339.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.24 : 2,540.20 = 1,696.40 : x
  2. Step 2: Convert to fraction form
    1,842.24/2,540.20 = 1,696.40/x
  3. Step 3: Cross multiply
    1,842.24x = 2,540.20 × 1,696.40
  4. Step 4: Simplify right side
    1,842.24x = 4,309,195.28
  5. Step 5: Solve for x
    x = 4,309,195.28/1,842.24
  6. Step 6: Final answer
    x = 2,339.11

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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.