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Finding the Fourth Proportional to 2,655.32, 3,983.49 and 900.61

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Solution

The fourth proportional to 2,655.32, 3,983.49 and 900.61 is: 1,351.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.32 : 3,983.49 = 900.61 : x
  2. Step 2: Convert to fraction form
    2,655.32/3,983.49 = 900.61/x
  3. Step 3: Cross multiply
    2,655.32x = 3,983.49 × 900.61
  4. Step 4: Simplify right side
    2,655.32x = 3,587,570.93
  5. Step 5: Solve for x
    x = 3,587,570.93/2,655.32
  6. Step 6: Final answer
    x = 1,351.09

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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.