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Finding the Fourth Proportional to 2,892.82, 4,340.27 and 945.03

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Solution

The fourth proportional to 2,892.82, 4,340.27 and 945.03 is: 1,417.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.82 : 4,340.27 = 945.03 : x
  2. Step 2: Convert to fraction form
    2,892.82/4,340.27 = 945.03/x
  3. Step 3: Cross multiply
    2,892.82x = 4,340.27 × 945.03
  4. Step 4: Simplify right side
    2,892.82x = 4,101,685.36
  5. Step 5: Solve for x
    x = 4,101,685.36/2,892.82
  6. Step 6: Final answer
    x = 1,417.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.