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Finding the Fourth Proportional to 2,336.94, 3,224.98 and 1,289

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Solution

The fourth proportional to 2,336.94, 3,224.98 and 1,289 is: 1,778.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.94 : 3,224.98 = 1,289 : x
  2. Step 2: Convert to fraction form
    2,336.94/3,224.98 = 1,289/x
  3. Step 3: Cross multiply
    2,336.94x = 3,224.98 × 1,289
  4. Step 4: Simplify right side
    2,336.94x = 4,156,999.22
  5. Step 5: Solve for x
    x = 4,156,999.22/2,336.94
  6. Step 6: Final answer
    x = 1,778.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.