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Finding the Fourth Proportional to 2,171.44, 2,995.68 and 1,385.28

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Solution

The fourth proportional to 2,171.44, 2,995.68 and 1,385.28 is: 1,911.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.44 : 2,995.68 = 1,385.28 : x
  2. Step 2: Convert to fraction form
    2,171.44/2,995.68 = 1,385.28/x
  3. Step 3: Cross multiply
    2,171.44x = 2,995.68 × 1,385.28
  4. Step 4: Simplify right side
    2,171.44x = 4,149,855.59
  5. Step 5: Solve for x
    x = 4,149,855.59/2,171.44
  6. Step 6: Final answer
    x = 1,911.11

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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.