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Finding the Fourth Proportional to 2,130.21, 3,195.39 and 960.03

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Solution

The fourth proportional to 2,130.21, 3,195.39 and 960.03 is: 1,440.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.21 : 3,195.39 = 960.03 : x
  2. Step 2: Convert to fraction form
    2,130.21/3,195.39 = 960.03/x
  3. Step 3: Cross multiply
    2,130.21x = 3,195.39 × 960.03
  4. Step 4: Simplify right side
    2,130.21x = 3,067,670.26
  5. Step 5: Solve for x
    x = 3,067,670.26/2,130.21
  6. Step 6: Final answer
    x = 1,440.08

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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.