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Finding the Fourth Proportional to 2,128.82, 2,936.25 and 1,420.30

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Solution

The fourth proportional to 2,128.82, 2,936.25 and 1,420.30 is: 1,959.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.82 : 2,936.25 = 1,420.30 : x
  2. Step 2: Convert to fraction form
    2,128.82/2,936.25 = 1,420.30/x
  3. Step 3: Cross multiply
    2,128.82x = 2,936.25 × 1,420.30
  4. Step 4: Simplify right side
    2,128.82x = 4,170,359.55
  5. Step 5: Solve for x
    x = 4,170,359.55/2,128.82
  6. Step 6: Final answer
    x = 1,959.01

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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.