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Finding the Fourth Proportional to 2,655.68, 3,983.90 and 900.83

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Solution

The fourth proportional to 2,655.68, 3,983.90 and 900.83 is: 1,351.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.68 : 3,983.90 = 900.83 : x
  2. Step 2: Convert to fraction form
    2,655.68/3,983.90 = 900.83/x
  3. Step 3: Cross multiply
    2,655.68x = 3,983.90 × 900.83
  4. Step 4: Simplify right side
    2,655.68x = 3,588,822.09
  5. Step 5: Solve for x
    x = 3,588,822.09/2,655.68
  6. Step 6: Final answer
    x = 1,351.38

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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.