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Finding the Fourth Proportional to 1,905.31, 2,856.61 and 734.32

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Solution

The fourth proportional to 1,905.31, 2,856.61 and 734.32 is: 1,100.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.31 : 2,856.61 = 734.32 : x
  2. Step 2: Convert to fraction form
    1,905.31/2,856.61 = 734.32/x
  3. Step 3: Cross multiply
    1,905.31x = 2,856.61 × 734.32
  4. Step 4: Simplify right side
    1,905.31x = 2,097,665.86
  5. Step 5: Solve for x
    x = 2,097,665.86/1,905.31
  6. Step 6: Final answer
    x = 1,100.96

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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.