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Finding the Fourth Proportional to 2,175.30, 2,995.92 and 2,134.80

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Solution

The fourth proportional to 2,175.30, 2,995.92 and 2,134.80 is: 2,940.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.30 : 2,995.92 = 2,134.80 : x
  2. Step 2: Convert to fraction form
    2,175.30/2,995.92 = 2,134.80/x
  3. Step 3: Cross multiply
    2,175.30x = 2,995.92 × 2,134.80
  4. Step 4: Simplify right side
    2,175.30x = 6,395,690.02
  5. Step 5: Solve for x
    x = 6,395,690.02/2,175.30
  6. Step 6: Final answer
    x = 2,940.14

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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.