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Finding the Fourth Proportional to 2,500.55, 3,750.82 and 745.50

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Solution

The fourth proportional to 2,500.55, 3,750.82 and 745.50 is: 1,118.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.55 : 3,750.82 = 745.50 : x
  2. Step 2: Convert to fraction form
    2,500.55/3,750.82 = 745.50/x
  3. Step 3: Cross multiply
    2,500.55x = 3,750.82 × 745.50
  4. Step 4: Simplify right side
    2,500.55x = 2,796,251.31
  5. Step 5: Solve for x
    x = 2,796,251.31/2,500.55
  6. Step 6: Final answer
    x = 1,118.26

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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.