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Finding the Fourth Proportional to 3,254.52, 4,882.50 and 946.20

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Solution

The fourth proportional to 3,254.52, 4,882.50 and 946.20 is: 1,419.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.52 : 4,882.50 = 946.20 : x
  2. Step 2: Convert to fraction form
    3,254.52/4,882.50 = 946.20/x
  3. Step 3: Cross multiply
    3,254.52x = 4,882.50 × 946.20
  4. Step 4: Simplify right side
    3,254.52x = 4,619,821.50
  5. Step 5: Solve for x
    x = 4,619,821.50/3,254.52
  6. Step 6: Final answer
    x = 1,419.51

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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.