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Finding the Fourth Proportional to 2,909.67, 4,364.96 and 962.33

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Solution

The fourth proportional to 2,909.67, 4,364.96 and 962.33 is: 1,443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.67 : 4,364.96 = 962.33 : x
  2. Step 2: Convert to fraction form
    2,909.67/4,364.96 = 962.33/x
  3. Step 3: Cross multiply
    2,909.67x = 4,364.96 × 962.33
  4. Step 4: Simplify right side
    2,909.67x = 4,200,537.99
  5. Step 5: Solve for x
    x = 4,200,537.99/2,909.67
  6. Step 6: Final answer
    x = 1,443.65

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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.