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Finding the Fourth Proportional to 2,894.38, 4,341.53 and 1,163.00

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Solution

The fourth proportional to 2,894.38, 4,341.53 and 1,163.00 is: 1,744.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.38 : 4,341.53 = 1,163.00 : x
  2. Step 2: Convert to fraction form
    2,894.38/4,341.53 = 1,163.00/x
  3. Step 3: Cross multiply
    2,894.38x = 4,341.53 × 1,163.00
  4. Step 4: Simplify right side
    2,894.38x = 5,049,213.15
  5. Step 5: Solve for x
    x = 5,049,213.15/2,894.38
  6. Step 6: Final answer
    x = 1,744.49

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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.