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Finding the Fourth Proportional to 3,023.46, 4,536.49 and 1,563.64

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Solution

The fourth proportional to 3,023.46, 4,536.49 and 1,563.64 is: 2,346.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.46 : 4,536.49 = 1,563.64 : x
  2. Step 2: Convert to fraction form
    3,023.46/4,536.49 = 1,563.64/x
  3. Step 3: Cross multiply
    3,023.46x = 4,536.49 × 1,563.64
  4. Step 4: Simplify right side
    3,023.46x = 7,093,437.22
  5. Step 5: Solve for x
    x = 7,093,437.22/3,023.46
  6. Step 6: Final answer
    x = 2,346.13

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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.