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Finding the Fourth Proportional to 2,500.45, 3,746.01 and 1,563.68

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Solution

The fourth proportional to 2,500.45, 3,746.01 and 1,563.68 is: 2,342.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.45 : 3,746.01 = 1,563.68 : x
  2. Step 2: Convert to fraction form
    2,500.45/3,746.01 = 1,563.68/x
  3. Step 3: Cross multiply
    2,500.45x = 3,746.01 × 1,563.68
  4. Step 4: Simplify right side
    2,500.45x = 5,857,576.15
  5. Step 5: Solve for x
    x = 5,857,576.15/2,500.45
  6. Step 6: Final answer
    x = 2,342.61

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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.