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Finding the Fourth Proportional to 3,250.56, 4,877.76 and 1,608

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Solution

The fourth proportional to 3,250.56, 4,877.76 and 1,608 is: 2,412.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,250.56 : 4,877.76 = 1,608 : x
  2. Step 2: Convert to fraction form
    3,250.56/4,877.76 = 1,608/x
  3. Step 3: Cross multiply
    3,250.56x = 4,877.76 × 1,608
  4. Step 4: Simplify right side
    3,250.56x = 7,843,438.08
  5. Step 5: Solve for x
    x = 7,843,438.08/3,250.56
  6. Step 6: Final answer
    x = 2,412.95

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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.