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Finding the Fourth Proportional to 3,004.63, 4,507.12 and 813.54

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Solution

The fourth proportional to 3,004.63, 4,507.12 and 813.54 is: 1,220.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.63 : 4,507.12 = 813.54 : x
  2. Step 2: Convert to fraction form
    3,004.63/4,507.12 = 813.54/x
  3. Step 3: Cross multiply
    3,004.63x = 4,507.12 × 813.54
  4. Step 4: Simplify right side
    3,004.63x = 3,666,722.40
  5. Step 5: Solve for x
    x = 3,666,722.40/3,004.63
  6. Step 6: Final answer
    x = 1,220.36

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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.