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Finding the Fourth Proportional to 2,386.92, 3,580.26 and 743.34

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Solution

The fourth proportional to 2,386.92, 3,580.26 and 743.34 is: 1,114.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.92 : 3,580.26 = 743.34 : x
  2. Step 2: Convert to fraction form
    2,386.92/3,580.26 = 743.34/x
  3. Step 3: Cross multiply
    2,386.92x = 3,580.26 × 743.34
  4. Step 4: Simplify right side
    2,386.92x = 2,661,350.47
  5. Step 5: Solve for x
    x = 2,661,350.47/2,386.92
  6. Step 6: Final answer
    x = 1,114.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.