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Finding the Fourth Proportional to 2,706.98, 4,060.16 and 759.34

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Solution

The fourth proportional to 2,706.98, 4,060.16 and 759.34 is: 1,138.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.98 : 4,060.16 = 759.34 : x
  2. Step 2: Convert to fraction form
    2,706.98/4,060.16 = 759.34/x
  3. Step 3: Cross multiply
    2,706.98x = 4,060.16 × 759.34
  4. Step 4: Simplify right side
    2,706.98x = 3,083,041.89
  5. Step 5: Solve for x
    x = 3,083,041.89/2,706.98
  6. Step 6: Final answer
    x = 1,138.92

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