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Finding the Fourth Proportional to 2,655.94, 3,983.92 and 2,043.58

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Solution

The fourth proportional to 2,655.94, 3,983.92 and 2,043.58 is: 3,065.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.94 : 3,983.92 = 2,043.58 : x
  2. Step 2: Convert to fraction form
    2,655.94/3,983.92 = 2,043.58/x
  3. Step 3: Cross multiply
    2,655.94x = 3,983.92 × 2,043.58
  4. Step 4: Simplify right side
    2,655.94x = 8,141,459.23
  5. Step 5: Solve for x
    x = 8,141,459.23/2,655.94
  6. Step 6: Final answer
    x = 3,065.38

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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.