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Finding the Fourth Proportional to 2,711.70, 3,742.71 and 1,649.34

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Solution

The fourth proportional to 2,711.70, 3,742.71 and 1,649.34 is: 2,276.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.70 : 3,742.71 = 1,649.34 : x
  2. Step 2: Convert to fraction form
    2,711.70/3,742.71 = 1,649.34/x
  3. Step 3: Cross multiply
    2,711.70x = 3,742.71 × 1,649.34
  4. Step 4: Simplify right side
    2,711.70x = 6,173,001.31
  5. Step 5: Solve for x
    x = 6,173,001.31/2,711.70
  6. Step 6: Final answer
    x = 2,276.43

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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.