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Finding the Fourth Proportional to 2,386.74, 3,293.82 and 1,324.62

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Solution

The fourth proportional to 2,386.74, 3,293.82 and 1,324.62 is: 1,828.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.74 : 3,293.82 = 1,324.62 : x
  2. Step 2: Convert to fraction form
    2,386.74/3,293.82 = 1,324.62/x
  3. Step 3: Cross multiply
    2,386.74x = 3,293.82 × 1,324.62
  4. Step 4: Simplify right side
    2,386.74x = 4,363,059.85
  5. Step 5: Solve for x
    x = 4,363,059.85/2,386.74
  6. Step 6: Final answer
    x = 1,828.04

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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.