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Finding the Fourth Proportional to 2,584.64, 3,564.60 and 1,745.12

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Solution

The fourth proportional to 2,584.64, 3,564.60 and 1,745.12 is: 2,406.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.64 : 3,564.60 = 1,745.12 : x
  2. Step 2: Convert to fraction form
    2,584.64/3,564.60 = 1,745.12/x
  3. Step 3: Cross multiply
    2,584.64x = 3,564.60 × 1,745.12
  4. Step 4: Simplify right side
    2,584.64x = 6,220,654.75
  5. Step 5: Solve for x
    x = 6,220,654.75/2,584.64
  6. Step 6: Final answer
    x = 2,406.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.