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Finding the Fourth Proportional to 3,004.20, 4,505.97 and 813.15

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Solution

The fourth proportional to 3,004.20, 4,505.97 and 813.15 is: 1,219.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.20 : 4,505.97 = 813.15 : x
  2. Step 2: Convert to fraction form
    3,004.20/4,505.97 = 813.15/x
  3. Step 3: Cross multiply
    3,004.20x = 4,505.97 × 813.15
  4. Step 4: Simplify right side
    3,004.20x = 3,664,029.51
  5. Step 5: Solve for x
    x = 3,664,029.51/3,004.20
  6. Step 6: Final answer
    x = 1,219.64

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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.