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Finding the Fourth Proportional to 1,836.92, 2,536.14 and 1,216.28

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Solution

The fourth proportional to 1,836.92, 2,536.14 and 1,216.28 is: 1,679.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.92 : 2,536.14 = 1,216.28 : x
  2. Step 2: Convert to fraction form
    1,836.92/2,536.14 = 1,216.28/x
  3. Step 3: Cross multiply
    1,836.92x = 2,536.14 × 1,216.28
  4. Step 4: Simplify right side
    1,836.92x = 3,084,656.36
  5. Step 5: Solve for x
    x = 3,084,656.36/1,836.92
  6. Step 6: Final answer
    x = 1,679.25

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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.