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Finding the Fourth Proportional to 2,660.64, 3,987.36 and 2,083.68

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Solution

The fourth proportional to 2,660.64, 3,987.36 and 2,083.68 is: 3,122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.64 : 3,987.36 = 2,083.68 : x
  2. Step 2: Convert to fraction form
    2,660.64/3,987.36 = 2,083.68/x
  3. Step 3: Cross multiply
    2,660.64x = 3,987.36 × 2,083.68
  4. Step 4: Simplify right side
    2,660.64x = 8,308,382.28
  5. Step 5: Solve for x
    x = 8,308,382.28/2,660.64
  6. Step 6: Final answer
    x = 3,122.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.