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Finding the Fourth Proportional to 3,004.30, 4,506.46 and 813.08

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Solution

The fourth proportional to 3,004.30, 4,506.46 and 813.08 is: 1,219.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.30 : 4,506.46 = 813.08 : x
  2. Step 2: Convert to fraction form
    3,004.30/4,506.46 = 813.08/x
  3. Step 3: Cross multiply
    3,004.30x = 4,506.46 × 813.08
  4. Step 4: Simplify right side
    3,004.30x = 3,664,112.50
  5. Step 5: Solve for x
    x = 3,664,112.50/3,004.30
  6. Step 6: Final answer
    x = 1,219.62

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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.