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Finding the Fourth Proportional to 2,852.67, 3,935.46 and 1,657.56

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Solution

The fourth proportional to 2,852.67, 3,935.46 and 1,657.56 is: 2,286.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.67 : 3,935.46 = 1,657.56 : x
  2. Step 2: Convert to fraction form
    2,852.67/3,935.46 = 1,657.56/x
  3. Step 3: Cross multiply
    2,852.67x = 3,935.46 × 1,657.56
  4. Step 4: Simplify right side
    2,852.67x = 6,523,277.39
  5. Step 5: Solve for x
    x = 6,523,277.39/2,852.67
  6. Step 6: Final answer
    x = 2,286.73

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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.