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Finding the Fourth Proportional to 3,302.75, 4,953.99 and 962.75

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Solution

The fourth proportional to 3,302.75, 4,953.99 and 962.75 is: 1,444.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.75 : 4,953.99 = 962.75 : x
  2. Step 2: Convert to fraction form
    3,302.75/4,953.99 = 962.75/x
  3. Step 3: Cross multiply
    3,302.75x = 4,953.99 × 962.75
  4. Step 4: Simplify right side
    3,302.75x = 4,769,453.87
  5. Step 5: Solve for x
    x = 4,769,453.87/3,302.75
  6. Step 6: Final answer
    x = 1,444.09

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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.