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Finding the Fourth Proportional to 3,202.54, 4,805.76 and 1,254.76

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Solution

The fourth proportional to 3,202.54, 4,805.76 and 1,254.76 is: 1,882.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.54 : 4,805.76 = 1,254.76 : x
  2. Step 2: Convert to fraction form
    3,202.54/4,805.76 = 1,254.76/x
  3. Step 3: Cross multiply
    3,202.54x = 4,805.76 × 1,254.76
  4. Step 4: Simplify right side
    3,202.54x = 6,030,075.42
  5. Step 5: Solve for x
    x = 6,030,075.42/3,202.54
  6. Step 6: Final answer
    x = 1,882.90

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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.