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Finding the Fourth Proportional to 2,276.79, 3,412.44 and 960.03

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Solution

The fourth proportional to 2,276.79, 3,412.44 and 960.03 is: 1,438.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.79 : 3,412.44 = 960.03 : x
  2. Step 2: Convert to fraction form
    2,276.79/3,412.44 = 960.03/x
  3. Step 3: Cross multiply
    2,276.79x = 3,412.44 × 960.03
  4. Step 4: Simplify right side
    2,276.79x = 3,276,044.77
  5. Step 5: Solve for x
    x = 3,276,044.77/2,276.79
  6. Step 6: Final answer
    x = 1,438.89

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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.