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Finding the Fourth Proportional to 2,175.14, 3,003.06 and 1,676.84

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Solution

The fourth proportional to 2,175.14, 3,003.06 and 1,676.84 is: 2,315.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.14 : 3,003.06 = 1,676.84 : x
  2. Step 2: Convert to fraction form
    2,175.14/3,003.06 = 1,676.84/x
  3. Step 3: Cross multiply
    2,175.14x = 3,003.06 × 1,676.84
  4. Step 4: Simplify right side
    2,175.14x = 5,035,651.13
  5. Step 5: Solve for x
    x = 5,035,651.13/2,175.14
  6. Step 6: Final answer
    x = 2,315.09

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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.