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Finding the Fourth Proportional to 2,962.26, 4,438.13 and 1,728.63

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Solution

The fourth proportional to 2,962.26, 4,438.13 and 1,728.63 is: 2,589.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.26 : 4,438.13 = 1,728.63 : x
  2. Step 2: Convert to fraction form
    2,962.26/4,438.13 = 1,728.63/x
  3. Step 3: Cross multiply
    2,962.26x = 4,438.13 × 1,728.63
  4. Step 4: Simplify right side
    2,962.26x = 7,671,876.02
  5. Step 5: Solve for x
    x = 7,671,876.02/2,962.26
  6. Step 6: Final answer
    x = 2,589.87

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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.