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Finding the Fourth Proportional to 2,976.05, 4,464.33 and 784.79

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Solution

The fourth proportional to 2,976.05, 4,464.33 and 784.79 is: 1,177.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.05 : 4,464.33 = 784.79 : x
  2. Step 2: Convert to fraction form
    2,976.05/4,464.33 = 784.79/x
  3. Step 3: Cross multiply
    2,976.05x = 4,464.33 × 784.79
  4. Step 4: Simplify right side
    2,976.05x = 3,503,553.02
  5. Step 5: Solve for x
    x = 3,503,553.02/2,976.05
  6. Step 6: Final answer
    x = 1,177.25

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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.