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Finding the Fourth Proportional to 2,443.23, 3,672.96 and 1,895.67

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Solution

The fourth proportional to 2,443.23, 3,672.96 and 1,895.67 is: 2,849.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.23 : 3,672.96 = 1,895.67 : x
  2. Step 2: Convert to fraction form
    2,443.23/3,672.96 = 1,895.67/x
  3. Step 3: Cross multiply
    2,443.23x = 3,672.96 × 1,895.67
  4. Step 4: Simplify right side
    2,443.23x = 6,962,720.08
  5. Step 5: Solve for x
    x = 6,962,720.08/2,443.23
  6. Step 6: Final answer
    x = 2,849.80

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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.