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Finding the Fourth Proportional to 2,136.48, 2,953.36 and 1,520.80

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Solution

The fourth proportional to 2,136.48, 2,953.36 and 1,520.80 is: 2,102.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.48 : 2,953.36 = 1,520.80 : x
  2. Step 2: Convert to fraction form
    2,136.48/2,953.36 = 1,520.80/x
  3. Step 3: Cross multiply
    2,136.48x = 2,953.36 × 1,520.80
  4. Step 4: Simplify right side
    2,136.48x = 4,491,469.89
  5. Step 5: Solve for x
    x = 4,491,469.89/2,136.48
  6. Step 6: Final answer
    x = 2,102.28

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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.