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Finding the Fourth Proportional to 1,402.56, 1,936.58 and 905.50

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Solution

The fourth proportional to 1,402.56, 1,936.58 and 905.50 is: 1,250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.56 : 1,936.58 = 905.50 : x
  2. Step 2: Convert to fraction form
    1,402.56/1,936.58 = 905.50/x
  3. Step 3: Cross multiply
    1,402.56x = 1,936.58 × 905.50
  4. Step 4: Simplify right side
    1,402.56x = 1,753,573.19
  5. Step 5: Solve for x
    x = 1,753,573.19/1,402.56
  6. Step 6: Final answer
    x = 1,250.27

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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.