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Finding the Fourth Proportional to 2,326.16, 3,489.25 and 2,178.54

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Solution

The fourth proportional to 2,326.16, 3,489.25 and 2,178.54 is: 3,267.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.16 : 3,489.25 = 2,178.54 : x
  2. Step 2: Convert to fraction form
    2,326.16/3,489.25 = 2,178.54/x
  3. Step 3: Cross multiply
    2,326.16x = 3,489.25 × 2,178.54
  4. Step 4: Simplify right side
    2,326.16x = 7,601,459.80
  5. Step 5: Solve for x
    x = 7,601,459.80/2,326.16
  6. Step 6: Final answer
    x = 3,267.81

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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.