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Finding the Fourth Proportional to 2,731.68, 3,770.04 and 1,683.76

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Solution

The fourth proportional to 2,731.68, 3,770.04 and 1,683.76 is: 2,323.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.68 : 3,770.04 = 1,683.76 : x
  2. Step 2: Convert to fraction form
    2,731.68/3,770.04 = 1,683.76/x
  3. Step 3: Cross multiply
    2,731.68x = 3,770.04 × 1,683.76
  4. Step 4: Simplify right side
    2,731.68x = 6,347,842.55
  5. Step 5: Solve for x
    x = 6,347,842.55/2,731.68
  6. Step 6: Final answer
    x = 2,323.79

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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.