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Finding the Fourth Proportional to 2,433.52, 3,650.52 and 894.48

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Solution

The fourth proportional to 2,433.52, 3,650.52 and 894.48 is: 1,341.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.52 : 3,650.52 = 894.48 : x
  2. Step 2: Convert to fraction form
    2,433.52/3,650.52 = 894.48/x
  3. Step 3: Cross multiply
    2,433.52x = 3,650.52 × 894.48
  4. Step 4: Simplify right side
    2,433.52x = 3,265,317.13
  5. Step 5: Solve for x
    x = 3,265,317.13/2,433.52
  6. Step 6: Final answer
    x = 1,341.81

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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.