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Finding the Fourth Proportional to 2,433.94, 3,650.74 and 790.45

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Solution

The fourth proportional to 2,433.94, 3,650.74 and 790.45 is: 1,185.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.94 : 3,650.74 = 790.45 : x
  2. Step 2: Convert to fraction form
    2,433.94/3,650.74 = 790.45/x
  3. Step 3: Cross multiply
    2,433.94x = 3,650.74 × 790.45
  4. Step 4: Simplify right side
    2,433.94x = 2,885,716.33
  5. Step 5: Solve for x
    x = 2,885,716.33/2,433.94
  6. Step 6: Final answer
    x = 1,185.62

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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.