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Finding the Fourth Proportional to 2,564.64, 3,847.02 and 1,025.64

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Solution

The fourth proportional to 2,564.64, 3,847.02 and 1,025.64 is: 1,538.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.64 : 3,847.02 = 1,025.64 : x
  2. Step 2: Convert to fraction form
    2,564.64/3,847.02 = 1,025.64/x
  3. Step 3: Cross multiply
    2,564.64x = 3,847.02 × 1,025.64
  4. Step 4: Simplify right side
    2,564.64x = 3,945,657.59
  5. Step 5: Solve for x
    x = 3,945,657.59/2,564.64
  6. Step 6: Final answer
    x = 1,538.48

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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.