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Finding the Fourth Proportional to 2,500.68, 3,750.30 and 745.60

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Solution

The fourth proportional to 2,500.68, 3,750.30 and 745.60 is: 1,118.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.68 : 3,750.30 = 745.60 : x
  2. Step 2: Convert to fraction form
    2,500.68/3,750.30 = 745.60/x
  3. Step 3: Cross multiply
    2,500.68x = 3,750.30 × 745.60
  4. Step 4: Simplify right side
    2,500.68x = 2,796,223.68
  5. Step 5: Solve for x
    x = 2,796,223.68/2,500.68
  6. Step 6: Final answer
    x = 1,118.19

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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.