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Finding the Fourth Proportional to 2,640.98, 3,961.16 and 693.34

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Solution

The fourth proportional to 2,640.98, 3,961.16 and 693.34 is: 1,039.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.98 : 3,961.16 = 693.34 : x
  2. Step 2: Convert to fraction form
    2,640.98/3,961.16 = 693.34/x
  3. Step 3: Cross multiply
    2,640.98x = 3,961.16 × 693.34
  4. Step 4: Simplify right side
    2,640.98x = 2,746,430.67
  5. Step 5: Solve for x
    x = 2,746,430.67/2,640.98
  6. Step 6: Final answer
    x = 1,039.93

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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.