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Finding the Fourth Proportional to 2,412.31, 3,328.89 and 1,364.39

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Solution

The fourth proportional to 2,412.31, 3,328.89 and 1,364.39 is: 1,882.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.31 : 3,328.89 = 1,364.39 : x
  2. Step 2: Convert to fraction form
    2,412.31/3,328.89 = 1,364.39/x
  3. Step 3: Cross multiply
    2,412.31x = 3,328.89 × 1,364.39
  4. Step 4: Simplify right side
    2,412.31x = 4,541,904.23
  5. Step 5: Solve for x
    x = 4,541,904.23/2,412.31
  6. Step 6: Final answer
    x = 1,882.80

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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.