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Finding the Fourth Proportional to 7,732, 11,599.92 and 2,260

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Solution

The fourth proportional to 7,732, 11,599.92 and 2,260 is: 3,390.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732 : 11,599.92 = 2,260 : x
  2. Step 2: Convert to fraction form
    7,732/11,599.92 = 2,260/x
  3. Step 3: Cross multiply
    7,732x = 11,599.92 × 2,260
  4. Step 4: Simplify right side
    7,732x = 26,215,819.20
  5. Step 5: Solve for x
    x = 26,215,819.20/7,732
  6. Step 6: Final answer
    x = 3,390.56

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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.