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Finding the Fourth Proportional to 2,711.84, 3,743.03 and 1,649.62

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Solution

The fourth proportional to 2,711.84, 3,743.03 and 1,649.62 is: 2,276.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.84 : 3,743.03 = 1,649.62 : x
  2. Step 2: Convert to fraction form
    2,711.84/3,743.03 = 1,649.62/x
  3. Step 3: Cross multiply
    2,711.84x = 3,743.03 × 1,649.62
  4. Step 4: Simplify right side
    2,711.84x = 6,174,550.19
  5. Step 5: Solve for x
    x = 6,174,550.19/2,711.84
  6. Step 6: Final answer
    x = 2,276.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.