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Finding the Fourth Proportional to 2,705.92, 3,734.25 and 1,657.39

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Solution

The fourth proportional to 2,705.92, 3,734.25 and 1,657.39 is: 2,287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.92 : 3,734.25 = 1,657.39 : x
  2. Step 2: Convert to fraction form
    2,705.92/3,734.25 = 1,657.39/x
  3. Step 3: Cross multiply
    2,705.92x = 3,734.25 × 1,657.39
  4. Step 4: Simplify right side
    2,705.92x = 6,189,108.61
  5. Step 5: Solve for x
    x = 6,189,108.61/2,705.92
  6. Step 6: Final answer
    x = 2,287.25

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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.