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Finding the Fourth Proportional to 4,480.64, 6,720.92 and 1,194

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Solution

The fourth proportional to 4,480.64, 6,720.92 and 1,194 is: 1,790.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,480.64 : 6,720.92 = 1,194 : x
  2. Step 2: Convert to fraction form
    4,480.64/6,720.92 = 1,194/x
  3. Step 3: Cross multiply
    4,480.64x = 6,720.92 × 1,194
  4. Step 4: Simplify right side
    4,480.64x = 8,024,778.48
  5. Step 5: Solve for x
    x = 8,024,778.48/4,480.64
  6. Step 6: Final answer
    x = 1,790.99

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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.