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Finding the Fourth Proportional to 2,714.49, 4,069.73 and 1,834.81

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Solution

The fourth proportional to 2,714.49, 4,069.73 and 1,834.81 is: 2,750.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.49 : 4,069.73 = 1,834.81 : x
  2. Step 2: Convert to fraction form
    2,714.49/4,069.73 = 1,834.81/x
  3. Step 3: Cross multiply
    2,714.49x = 4,069.73 × 1,834.81
  4. Step 4: Simplify right side
    2,714.49x = 7,467,175.71
  5. Step 5: Solve for x
    x = 7,467,175.71/2,714.49
  6. Step 6: Final answer
    x = 2,750.86

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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.