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Finding the Fourth Proportional to 2,421.99, 3,629.80 and 960.35

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Solution

The fourth proportional to 2,421.99, 3,629.80 and 960.35 is: 1,439.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.99 : 3,629.80 = 960.35 : x
  2. Step 2: Convert to fraction form
    2,421.99/3,629.80 = 960.35/x
  3. Step 3: Cross multiply
    2,421.99x = 3,629.80 × 960.35
  4. Step 4: Simplify right side
    2,421.99x = 3,485,878.43
  5. Step 5: Solve for x
    x = 3,485,878.43/2,421.99
  6. Step 6: Final answer
    x = 1,439.26

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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.