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Finding the Fourth Proportional to 2,352.11, 3,528.09 and 965.07

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Solution

The fourth proportional to 2,352.11, 3,528.09 and 965.07 is: 1,447.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.11 : 3,528.09 = 965.07 : x
  2. Step 2: Convert to fraction form
    2,352.11/3,528.09 = 965.07/x
  3. Step 3: Cross multiply
    2,352.11x = 3,528.09 × 965.07
  4. Step 4: Simplify right side
    2,352.11x = 3,404,853.82
  5. Step 5: Solve for x
    x = 3,404,853.82/2,352.11
  6. Step 6: Final answer
    x = 1,447.58

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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.