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Finding the Fourth Proportional to 2,706.75, 4,051.89 and 1,733.53

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Solution

The fourth proportional to 2,706.75, 4,051.89 and 1,733.53 is: 2,595.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.75 : 4,051.89 = 1,733.53 : x
  2. Step 2: Convert to fraction form
    2,706.75/4,051.89 = 1,733.53/x
  3. Step 3: Cross multiply
    2,706.75x = 4,051.89 × 1,733.53
  4. Step 4: Simplify right side
    2,706.75x = 7,024,072.87
  5. Step 5: Solve for x
    x = 7,024,072.87/2,706.75
  6. Step 6: Final answer
    x = 2,595.02

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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.