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Finding the Fourth Proportional to 2,165.82, 2,989.42 and 1,270.36

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Solution

The fourth proportional to 2,165.82, 2,989.42 and 1,270.36 is: 1,753.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.82 : 2,989.42 = 1,270.36 : x
  2. Step 2: Convert to fraction form
    2,165.82/2,989.42 = 1,270.36/x
  3. Step 3: Cross multiply
    2,165.82x = 2,989.42 × 1,270.36
  4. Step 4: Simplify right side
    2,165.82x = 3,797,639.59
  5. Step 5: Solve for x
    x = 3,797,639.59/2,165.82
  6. Step 6: Final answer
    x = 1,753.44

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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.