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Finding the Fourth Proportional to 2,434.30, 3,650.67 and 790.45

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Solution

The fourth proportional to 2,434.30, 3,650.67 and 790.45 is: 1,185.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.30 : 3,650.67 = 790.45 : x
  2. Step 2: Convert to fraction form
    2,434.30/3,650.67 = 790.45/x
  3. Step 3: Cross multiply
    2,434.30x = 3,650.67 × 790.45
  4. Step 4: Simplify right side
    2,434.30x = 2,885,662.97
  5. Step 5: Solve for x
    x = 2,885,662.97/2,434.30
  6. Step 6: Final answer
    x = 1,185.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.