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Finding the Fourth Proportional to 2,362.07, 3,543.11 and 630.69

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Solution

The fourth proportional to 2,362.07, 3,543.11 and 630.69 is: 946.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.07 : 3,543.11 = 630.69 : x
  2. Step 2: Convert to fraction form
    2,362.07/3,543.11 = 630.69/x
  3. Step 3: Cross multiply
    2,362.07x = 3,543.11 × 630.69
  4. Step 4: Simplify right side
    2,362.07x = 2,234,604.05
  5. Step 5: Solve for x
    x = 2,234,604.05/2,362.07
  6. Step 6: Final answer
    x = 946.04

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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.