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Finding the Fourth Proportional to 2,407.29, 3,608.50 and 926.20

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Solution

The fourth proportional to 2,407.29, 3,608.50 and 926.20 is: 1,388.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.29 : 3,608.50 = 926.20 : x
  2. Step 2: Convert to fraction form
    2,407.29/3,608.50 = 926.20/x
  3. Step 3: Cross multiply
    2,407.29x = 3,608.50 × 926.20
  4. Step 4: Simplify right side
    2,407.29x = 3,342,192.70
  5. Step 5: Solve for x
    x = 3,342,192.70/2,407.29
  6. Step 6: Final answer
    x = 1,388.36

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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.