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Finding the Fourth Proportional to 4,380.67, 6,573.44 and 1,783

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Solution

The fourth proportional to 4,380.67, 6,573.44 and 1,783 is: 2,675.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,380.67 : 6,573.44 = 1,783 : x
  2. Step 2: Convert to fraction form
    4,380.67/6,573.44 = 1,783/x
  3. Step 3: Cross multiply
    4,380.67x = 6,573.44 × 1,783
  4. Step 4: Simplify right side
    4,380.67x = 11,720,443.52
  5. Step 5: Solve for x
    x = 11,720,443.52/4,380.67
  6. Step 6: Final answer
    x = 2,675.49

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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.