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Finding the Fourth Proportional to 2,453.92, 3,684.12 and 2,349.70

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Solution

The fourth proportional to 2,453.92, 3,684.12 and 2,349.70 is: 3,527.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.92 : 3,684.12 = 2,349.70 : x
  2. Step 2: Convert to fraction form
    2,453.92/3,684.12 = 2,349.70/x
  3. Step 3: Cross multiply
    2,453.92x = 3,684.12 × 2,349.70
  4. Step 4: Simplify right side
    2,453.92x = 8,656,576.76
  5. Step 5: Solve for x
    x = 8,656,576.76/2,453.92
  6. Step 6: Final answer
    x = 3,527.65

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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.