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Finding the Fourth Proportional to 2,178.89, 3,269.07 and 945.66

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Solution

The fourth proportional to 2,178.89, 3,269.07 and 945.66 is: 1,418.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.89 : 3,269.07 = 945.66 : x
  2. Step 2: Convert to fraction form
    2,178.89/3,269.07 = 945.66/x
  3. Step 3: Cross multiply
    2,178.89x = 3,269.07 × 945.66
  4. Step 4: Simplify right side
    2,178.89x = 3,091,428.74
  5. Step 5: Solve for x
    x = 3,091,428.74/2,178.89
  6. Step 6: Final answer
    x = 1,418.81

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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.