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Finding the Fourth Proportional to 2,735.68, 3,770.28 and 2,158.96

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Solution

The fourth proportional to 2,735.68, 3,770.28 and 2,158.96 is: 2,975.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.68 : 3,770.28 = 2,158.96 : x
  2. Step 2: Convert to fraction form
    2,735.68/3,770.28 = 2,158.96/x
  3. Step 3: Cross multiply
    2,735.68x = 3,770.28 × 2,158.96
  4. Step 4: Simplify right side
    2,735.68x = 8,139,883.71
  5. Step 5: Solve for x
    x = 8,139,883.71/2,735.68
  6. Step 6: Final answer
    x = 2,975.45

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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.