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Finding the Fourth Proportional to 4,453.65, 6,682.76 and 1,823.10

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Solution

The fourth proportional to 4,453.65, 6,682.76 and 1,823.10 is: 2,735.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,453.65 : 6,682.76 = 1,823.10 : x
  2. Step 2: Convert to fraction form
    4,453.65/6,682.76 = 1,823.10/x
  3. Step 3: Cross multiply
    4,453.65x = 6,682.76 × 1,823.10
  4. Step 4: Simplify right side
    4,453.65x = 12,183,339.76
  5. Step 5: Solve for x
    x = 12,183,339.76/4,453.65
  6. Step 6: Final answer
    x = 2,735.59

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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.