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Finding the Fourth Proportional to 2,656.52, 3,984.64 and 900.84

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Solution

The fourth proportional to 2,656.52, 3,984.64 and 900.84 is: 1,351.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.52 : 3,984.64 = 900.84 : x
  2. Step 2: Convert to fraction form
    2,656.52/3,984.64 = 900.84/x
  3. Step 3: Cross multiply
    2,656.52x = 3,984.64 × 900.84
  4. Step 4: Simplify right side
    2,656.52x = 3,589,523.10
  5. Step 5: Solve for x
    x = 3,589,523.10/2,656.52
  6. Step 6: Final answer
    x = 1,351.21

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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.