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Finding the Fourth Proportional to 2,754.84, 4,127.04 and 1,711.56

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Solution

The fourth proportional to 2,754.84, 4,127.04 and 1,711.56 is: 2,564.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.84 : 4,127.04 = 1,711.56 : x
  2. Step 2: Convert to fraction form
    2,754.84/4,127.04 = 1,711.56/x
  3. Step 3: Cross multiply
    2,754.84x = 4,127.04 × 1,711.56
  4. Step 4: Simplify right side
    2,754.84x = 7,063,676.58
  5. Step 5: Solve for x
    x = 7,063,676.58/2,754.84
  6. Step 6: Final answer
    x = 2,564.10

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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.