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Finding the Fourth Proportional to 2,688.71, 3,709.31 and 1,941.03

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Solution

The fourth proportional to 2,688.71, 3,709.31 and 1,941.03 is: 2,677.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.71 : 3,709.31 = 1,941.03 : x
  2. Step 2: Convert to fraction form
    2,688.71/3,709.31 = 1,941.03/x
  3. Step 3: Cross multiply
    2,688.71x = 3,709.31 × 1,941.03
  4. Step 4: Simplify right side
    2,688.71x = 7,199,872.28
  5. Step 5: Solve for x
    x = 7,199,872.28/2,688.71
  6. Step 6: Final answer
    x = 2,677.82

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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.