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Finding the Fourth Proportional to 2,176.96, 3,264.69 and 943.54

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Solution

The fourth proportional to 2,176.96, 3,264.69 and 943.54 is: 1,414.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.96 : 3,264.69 = 943.54 : x
  2. Step 2: Convert to fraction form
    2,176.96/3,264.69 = 943.54/x
  3. Step 3: Cross multiply
    2,176.96x = 3,264.69 × 943.54
  4. Step 4: Simplify right side
    2,176.96x = 3,080,365.60
  5. Step 5: Solve for x
    x = 3,080,365.60/2,176.96
  6. Step 6: Final answer
    x = 1,414.98

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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.