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Finding the Fourth Proportional to 2,076.84, 3,118.50 and 1,647.54

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Solution

The fourth proportional to 2,076.84, 3,118.50 and 1,647.54 is: 2,473.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.84 : 3,118.50 = 1,647.54 : x
  2. Step 2: Convert to fraction form
    2,076.84/3,118.50 = 1,647.54/x
  3. Step 3: Cross multiply
    2,076.84x = 3,118.50 × 1,647.54
  4. Step 4: Simplify right side
    2,076.84x = 5,137,853.49
  5. Step 5: Solve for x
    x = 5,137,853.49/2,076.84
  6. Step 6: Final answer
    x = 2,473.88

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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.