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Finding the Fourth Proportional to 2,421.90, 3,630.68 and 960.06

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Solution

The fourth proportional to 2,421.90, 3,630.68 and 960.06 is: 1,439.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.90 : 3,630.68 = 960.06 : x
  2. Step 2: Convert to fraction form
    2,421.90/3,630.68 = 960.06/x
  3. Step 3: Cross multiply
    2,421.90x = 3,630.68 × 960.06
  4. Step 4: Simplify right side
    2,421.90x = 3,485,670.64
  5. Step 5: Solve for x
    x = 3,485,670.64/2,421.90
  6. Step 6: Final answer
    x = 1,439.23

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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.