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Finding the Fourth Proportional to 2,186.96, 3,015.54 and 1,628.48

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Solution

The fourth proportional to 2,186.96, 3,015.54 and 1,628.48 is: 2,245.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.96 : 3,015.54 = 1,628.48 : x
  2. Step 2: Convert to fraction form
    2,186.96/3,015.54 = 1,628.48/x
  3. Step 3: Cross multiply
    2,186.96x = 3,015.54 × 1,628.48
  4. Step 4: Simplify right side
    2,186.96x = 4,910,746.58
  5. Step 5: Solve for x
    x = 4,910,746.58/2,186.96
  6. Step 6: Final answer
    x = 2,245.47

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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.