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Finding the Fourth Proportional to 2,328, 3,212.76 and 1,333.38

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Solution

The fourth proportional to 2,328, 3,212.76 and 1,333.38 is: 1,840.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328 : 3,212.76 = 1,333.38 : x
  2. Step 2: Convert to fraction form
    2,328/3,212.76 = 1,333.38/x
  3. Step 3: Cross multiply
    2,328x = 3,212.76 × 1,333.38
  4. Step 4: Simplify right side
    2,328x = 4,283,829.93
  5. Step 5: Solve for x
    x = 4,283,829.93/2,328
  6. Step 6: Final answer
    x = 1,840.13

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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.