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Finding the Fourth Proportional to 2,404.84, 3,608.51 and 1,819.67

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Solution

The fourth proportional to 2,404.84, 3,608.51 and 1,819.67 is: 2,730.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.84 : 3,608.51 = 1,819.67 : x
  2. Step 2: Convert to fraction form
    2,404.84/3,608.51 = 1,819.67/x
  3. Step 3: Cross multiply
    2,404.84x = 3,608.51 × 1,819.67
  4. Step 4: Simplify right side
    2,404.84x = 6,566,289.36
  5. Step 5: Solve for x
    x = 6,566,289.36/2,404.84
  6. Step 6: Final answer
    x = 2,730.45

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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.