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Finding the Fourth Proportional to 2,002.53, 2,996.67 and 1,755.06

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Solution

The fourth proportional to 2,002.53, 2,996.67 and 1,755.06 is: 2,626.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.53 : 2,996.67 = 1,755.06 : x
  2. Step 2: Convert to fraction form
    2,002.53/2,996.67 = 1,755.06/x
  3. Step 3: Cross multiply
    2,002.53x = 2,996.67 × 1,755.06
  4. Step 4: Simplify right side
    2,002.53x = 5,259,335.65
  5. Step 5: Solve for x
    x = 5,259,335.65/2,002.53
  6. Step 6: Final answer
    x = 2,626.35

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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.