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Finding the Fourth Proportional to 2,162.37, 2,983.02 and 2,078.52

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Solution

The fourth proportional to 2,162.37, 2,983.02 and 2,078.52 is: 2,867.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.37 : 2,983.02 = 2,078.52 : x
  2. Step 2: Convert to fraction form
    2,162.37/2,983.02 = 2,078.52/x
  3. Step 3: Cross multiply
    2,162.37x = 2,983.02 × 2,078.52
  4. Step 4: Simplify right side
    2,162.37x = 6,200,266.73
  5. Step 5: Solve for x
    x = 6,200,266.73/2,162.37
  6. Step 6: Final answer
    x = 2,867.35

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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.