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Finding the Fourth Proportional to 4,652.89, 6,978.33 and 1,651.33

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Solution

The fourth proportional to 4,652.89, 6,978.33 and 1,651.33 is: 2,476.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.89 : 6,978.33 = 1,651.33 : x
  2. Step 2: Convert to fraction form
    4,652.89/6,978.33 = 1,651.33/x
  3. Step 3: Cross multiply
    4,652.89x = 6,978.33 × 1,651.33
  4. Step 4: Simplify right side
    4,652.89x = 11,523,525.68
  5. Step 5: Solve for x
    x = 11,523,525.68/4,652.89
  6. Step 6: Final answer
    x = 2,476.64

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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.