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Finding the Fourth Proportional to 2,093.61, 3,140.90 and 706.92

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Solution

The fourth proportional to 2,093.61, 3,140.90 and 706.92 is: 1,060.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.61 : 3,140.90 = 706.92 : x
  2. Step 2: Convert to fraction form
    2,093.61/3,140.90 = 706.92/x
  3. Step 3: Cross multiply
    2,093.61x = 3,140.90 × 706.92
  4. Step 4: Simplify right side
    2,093.61x = 2,220,361.49
  5. Step 5: Solve for x
    x = 2,220,361.49/2,093.61
  6. Step 6: Final answer
    x = 1,060.54

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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.