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Finding the Fourth Proportional to 3,253.92, 4,882.80 and 1,522.72

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Solution

The fourth proportional to 3,253.92, 4,882.80 and 1,522.72 is: 2,284.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,253.92 : 4,882.80 = 1,522.72 : x
  2. Step 2: Convert to fraction form
    3,253.92/4,882.80 = 1,522.72/x
  3. Step 3: Cross multiply
    3,253.92x = 4,882.80 × 1,522.72
  4. Step 4: Simplify right side
    3,253.92x = 7,435,137.22
  5. Step 5: Solve for x
    x = 7,435,137.22/3,253.92
  6. Step 6: Final answer
    x = 2,284.98

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1.5x scale

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.