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Finding the Fourth Proportional to 2,754, 4,127.09 and 1,109.43

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Solution

The fourth proportional to 2,754, 4,127.09 and 1,109.43 is: 1,662.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754 : 4,127.09 = 1,109.43 : x
  2. Step 2: Convert to fraction form
    2,754/4,127.09 = 1,109.43/x
  3. Step 3: Cross multiply
    2,754x = 4,127.09 × 1,109.43
  4. Step 4: Simplify right side
    2,754x = 4,578,711.91
  5. Step 5: Solve for x
    x = 4,578,711.91/2,754
  6. Step 6: Final answer
    x = 1,662.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.