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Finding the Fourth Proportional to 2,425.36, 3,636.42 and 964.12

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Solution

The fourth proportional to 2,425.36, 3,636.42 and 964.12 is: 1,445.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.36 : 3,636.42 = 964.12 : x
  2. Step 2: Convert to fraction form
    2,425.36/3,636.42 = 964.12/x
  3. Step 3: Cross multiply
    2,425.36x = 3,636.42 × 964.12
  4. Step 4: Simplify right side
    2,425.36x = 3,505,945.25
  5. Step 5: Solve for x
    x = 3,505,945.25/2,425.36
  6. Step 6: Final answer
    x = 1,445.54

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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.