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Finding the Fourth Proportional to 2,835.84, 3,912.96 and 1,657.08

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Solution

The fourth proportional to 2,835.84, 3,912.96 and 1,657.08 is: 2,286.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.84 : 3,912.96 = 1,657.08 : x
  2. Step 2: Convert to fraction form
    2,835.84/3,912.96 = 1,657.08/x
  3. Step 3: Cross multiply
    2,835.84x = 3,912.96 × 1,657.08
  4. Step 4: Simplify right side
    2,835.84x = 6,484,087.76
  5. Step 5: Solve for x
    x = 6,484,087.76/2,835.84
  6. Step 6: Final answer
    x = 2,286.48

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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.