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Finding the Fourth Proportional to 2,997.50, 4,136.91 and 1,755.50

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Solution

The fourth proportional to 2,997.50, 4,136.91 and 1,755.50 is: 2,422.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.50 : 4,136.91 = 1,755.50 : x
  2. Step 2: Convert to fraction form
    2,997.50/4,136.91 = 1,755.50/x
  3. Step 3: Cross multiply
    2,997.50x = 4,136.91 × 1,755.50
  4. Step 4: Simplify right side
    2,997.50x = 7,262,345.51
  5. Step 5: Solve for x
    x = 7,262,345.51/2,997.50
  6. Step 6: Final answer
    x = 2,422.80

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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.