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Finding the Fourth Proportional to 2,713.28, 3,742.31 and 1,756.43

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Solution

The fourth proportional to 2,713.28, 3,742.31 and 1,756.43 is: 2,422.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.28 : 3,742.31 = 1,756.43 : x
  2. Step 2: Convert to fraction form
    2,713.28/3,742.31 = 1,756.43/x
  3. Step 3: Cross multiply
    2,713.28x = 3,742.31 × 1,756.43
  4. Step 4: Simplify right side
    2,713.28x = 6,573,128.79
  5. Step 5: Solve for x
    x = 6,573,128.79/2,713.28
  6. Step 6: Final answer
    x = 2,422.57

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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.