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Finding the Fourth Proportional to 3,441.79, 5,161.65 and 976.81

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Solution

The fourth proportional to 3,441.79, 5,161.65 and 976.81 is: 1,464.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.79 : 5,161.65 = 976.81 : x
  2. Step 2: Convert to fraction form
    3,441.79/5,161.65 = 976.81/x
  3. Step 3: Cross multiply
    3,441.79x = 5,161.65 × 976.81
  4. Step 4: Simplify right side
    3,441.79x = 5,041,951.34
  5. Step 5: Solve for x
    x = 5,041,951.34/3,441.79
  6. Step 6: Final answer
    x = 1,464.92

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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.