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Finding the Fourth Proportional to 1,962.98, 2,704.54 and 1,753.18

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Solution

The fourth proportional to 1,962.98, 2,704.54 and 1,753.18 is: 2,415.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.98 : 2,704.54 = 1,753.18 : x
  2. Step 2: Convert to fraction form
    1,962.98/2,704.54 = 1,753.18/x
  3. Step 3: Cross multiply
    1,962.98x = 2,704.54 × 1,753.18
  4. Step 4: Simplify right side
    1,962.98x = 4,741,545.44
  5. Step 5: Solve for x
    x = 4,741,545.44/1,962.98
  6. Step 6: Final answer
    x = 2,415.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.