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Finding the Fourth Proportional to 2,162.58, 2,982.36 and 1,604.45

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Solution

The fourth proportional to 2,162.58, 2,982.36 and 1,604.45 is: 2,212.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.58 : 2,982.36 = 1,604.45 : x
  2. Step 2: Convert to fraction form
    2,162.58/2,982.36 = 1,604.45/x
  3. Step 3: Cross multiply
    2,162.58x = 2,982.36 × 1,604.45
  4. Step 4: Simplify right side
    2,162.58x = 4,785,032.59
  5. Step 5: Solve for x
    x = 4,785,032.59/2,162.58
  6. Step 6: Final answer
    x = 2,212.65

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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.