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Finding the Fourth Proportional to 2,352.70, 3,528.96 and 965.62

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Solution

The fourth proportional to 2,352.70, 3,528.96 and 965.62 is: 1,448.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.70 : 3,528.96 = 965.62 : x
  2. Step 2: Convert to fraction form
    2,352.70/3,528.96 = 965.62/x
  3. Step 3: Cross multiply
    2,352.70x = 3,528.96 × 965.62
  4. Step 4: Simplify right side
    2,352.70x = 3,407,634.36
  5. Step 5: Solve for x
    x = 3,407,634.36/2,352.70
  6. Step 6: Final answer
    x = 1,448.39

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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.