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Finding the Fourth Proportional to 2,594.75, 3,893.75 and 1,055.75

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Solution

The fourth proportional to 2,594.75, 3,893.75 and 1,055.75 is: 1,584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.75 : 3,893.75 = 1,055.75 : x
  2. Step 2: Convert to fraction form
    2,594.75/3,893.75 = 1,055.75/x
  3. Step 3: Cross multiply
    2,594.75x = 3,893.75 × 1,055.75
  4. Step 4: Simplify right side
    2,594.75x = 4,110,821.28
  5. Step 5: Solve for x
    x = 4,110,821.28/2,594.75
  6. Step 6: Final answer
    x = 1,584.28

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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.