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Finding the Fourth Proportional to 2,349.63, 3,240.92 and 1,511.39

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Solution

The fourth proportional to 2,349.63, 3,240.92 and 1,511.39 is: 2,084.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.63 : 3,240.92 = 1,511.39 : x
  2. Step 2: Convert to fraction form
    2,349.63/3,240.92 = 1,511.39/x
  3. Step 3: Cross multiply
    2,349.63x = 3,240.92 × 1,511.39
  4. Step 4: Simplify right side
    2,349.63x = 4,898,294.08
  5. Step 5: Solve for x
    x = 4,898,294.08/2,349.63
  6. Step 6: Final answer
    x = 2,084.71

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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.