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Finding the Fourth Proportional to 2,165.90, 2,989.33 and 1,282.14

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Solution

The fourth proportional to 2,165.90, 2,989.33 and 1,282.14 is: 1,769.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.90 : 2,989.33 = 1,282.14 : x
  2. Step 2: Convert to fraction form
    2,165.90/2,989.33 = 1,282.14/x
  3. Step 3: Cross multiply
    2,165.90x = 2,989.33 × 1,282.14
  4. Step 4: Simplify right side
    2,165.90x = 3,832,736.36
  5. Step 5: Solve for x
    x = 3,832,736.36/2,165.90
  6. Step 6: Final answer
    x = 1,769.59

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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.