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Finding the Fourth Proportional to 3,328, 4,592.64 and 1,856

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Solution

The fourth proportional to 3,328, 4,592.64 and 1,856 is: 2,561.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,328 : 4,592.64 = 1,856 : x
  2. Step 2: Convert to fraction form
    3,328/4,592.64 = 1,856/x
  3. Step 3: Cross multiply
    3,328x = 4,592.64 × 1,856
  4. Step 4: Simplify right side
    3,328x = 8,523,939.84
  5. Step 5: Solve for x
    x = 8,523,939.84/3,328
  6. Step 6: Final answer
    x = 2,561.28

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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.